What is the Least Common Multiple of 19764 and 19772?

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 19764 and 19772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19764 and 19772, than apply into the LCM equation.

GCF(19764,19772) = 4
LCM(19764,19772) = ( 19764 × 19772) / 4
LCM(19764,19772) = 390773808 / 4
LCM(19764,19772) = 97693452

Least Common Multiple (LCM) of 19764 and 19772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19764 and 19772. First we will calculate the prime factors of 19764 and 19772.

Prime Factorization of 19764

Prime Factorization of 19772

Now multiplying the highest exponent prime factors to calculate the LCM of 19764 and 19772.

LCM(19764,19772) = 2² × 3⁴ × 61¹ × 4943¹
LCM(19764,19772) = 97693452