What is the Least Common Multiple of 79076 and 79092?

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 79076 and 79092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79076 and 79092, than apply into the LCM equation.

GCF(79076,79092) = 4
LCM(79076,79092) = ( 79076 × 79092) / 4
LCM(79076,79092) = 6254278992 / 4
LCM(79076,79092) = 1563569748

Least Common Multiple (LCM) of 79076 and 79092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79076 and 79092. First we will calculate the prime factors of 79076 and 79092.

Prime Factorization of 79076

Prime Factorization of 79092

Now multiplying the highest exponent prime factors to calculate the LCM of 79076 and 79092.

LCM(79076,79092) = 2² × 53¹ × 373¹ × 3² × 13³
LCM(79076,79092) = 1563569748