What is the Least Common Multiple of 19755 and 19764?

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 19755 and 19764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19755 and 19764, than apply into the LCM equation.

GCF(19755,19764) = 9
LCM(19755,19764) = ( 19755 × 19764) / 9
LCM(19755,19764) = 390437820 / 9
LCM(19755,19764) = 43381980

Least Common Multiple (LCM) of 19755 and 19764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19755 and 19764. First we will calculate the prime factors of 19755 and 19764.

Prime Factorization of 19755

Prime Factorization of 19764

Now multiplying the highest exponent prime factors to calculate the LCM of 19755 and 19764.

LCM(19755,19764) = 3⁴ × 5¹ × 439¹ × 2² × 61¹
LCM(19755,19764) = 43381980