<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-lcm-with-pf">LCM with PF Exercise</a></p><p>To find the <strong><span style="color:#27ae60;">Least Common Multiple with Prime Factorization</span></strong>, follow these steps. For example, what is the least common multiple of $110$ and $200$?</p>
<ul>
<li>First, prime factorize both numbers.
<ul>
<li>$110=2^15^111^1$</li>
<li>$200=2^35^2$</li>
</ul>
</li>
<li>Next, across both numbers, write down all of the prime divisors represented.
<ul>
<li>$2^a5^b11^c$</li>
</ul>
</li>
<li>Finally, find the largest exponent present for each prime divisor. For this example, $a = 3$, $b=2$, and $c=1$. Write down these exponents and multiply the number out.
<ul>
<li>$2^35^211^1=2200$</li>
</ul>
</li>
</ul>