What is the Least Common Multiple of 19572 and 19579?

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 19572 and 19579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19572 and 19579, than apply into the LCM equation.

GCF(19572,19579) = 7
LCM(19572,19579) = ( 19572 × 19579) / 7
LCM(19572,19579) = 383200188 / 7
LCM(19572,19579) = 54742884

Least Common Multiple (LCM) of 19572 and 19579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19572 and 19579. First we will calculate the prime factors of 19572 and 19579.

Prime Factorization of 19572

Prime Factorization of 19579

Now multiplying the highest exponent prime factors to calculate the LCM of 19572 and 19579.

LCM(19572,19579) = 2² × 3¹ × 7¹ × 233¹ × 2797¹
LCM(19572,19579) = 54742884