What is the Least Common Multiple of 19557 and 19572?

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 19557 and 19572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19557 and 19572, than apply into the LCM equation.

GCF(19557,19572) = 3
LCM(19557,19572) = ( 19557 × 19572) / 3
LCM(19557,19572) = 382769604 / 3
LCM(19557,19572) = 127589868

Least Common Multiple (LCM) of 19557 and 19572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19557 and 19572. First we will calculate the prime factors of 19557 and 19572.

Prime Factorization of 19557

Prime Factorization of 19572

Now multiplying the highest exponent prime factors to calculate the LCM of 19557 and 19572.

LCM(19557,19572) = 3² × 41¹ × 53¹ × 2² × 7¹ × 233¹
LCM(19557,19572) = 127589868