What is the Least Common Multiple of 19652 and 19667?

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 19652 and 19667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19652 and 19667, than apply into the LCM equation.

GCF(19652,19667) = 1
LCM(19652,19667) = ( 19652 × 19667) / 1
LCM(19652,19667) = 386495884 / 1
LCM(19652,19667) = 386495884

Least Common Multiple (LCM) of 19652 and 19667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19652 and 19667. First we will calculate the prime factors of 19652 and 19667.

Prime Factorization of 19652

Prime Factorization of 19667

Now multiplying the highest exponent prime factors to calculate the LCM of 19652 and 19667.

LCM(19652,19667) = 2² × 17³ × 71¹ × 277¹
LCM(19652,19667) = 386495884