What is the Least Common Multiple of 16635 and 16652?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 16635 and 16652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16635 and 16652, than apply into the LCM equation.

GCF(16635,16652) = 1
LCM(16635,16652) = ( 16635 × 16652) / 1
LCM(16635,16652) = 277006020 / 1
LCM(16635,16652) = 277006020

Least Common Multiple (LCM) of 16635 and 16652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16635 and 16652. First we will calculate the prime factors of 16635 and 16652.

Prime Factorization of 16635

Prime Factorization of 16652

Now multiplying the highest exponent prime factors to calculate the LCM of 16635 and 16652.

LCM(16635,16652) = 3¹ × 5¹ × 1109¹ × 2² × 23¹ × 181¹
LCM(16635,16652) = 277006020