What is the Least Common Multiple of 77712 and 77732?

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 77712 and 77732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77712 and 77732, than apply into the LCM equation.

GCF(77712,77732) = 4
LCM(77712,77732) = ( 77712 × 77732) / 4
LCM(77712,77732) = 6040709184 / 4
LCM(77712,77732) = 1510177296

Least Common Multiple (LCM) of 77712 and 77732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77712 and 77732. First we will calculate the prime factors of 77712 and 77732.

Prime Factorization of 77712

Prime Factorization of 77732

Now multiplying the highest exponent prime factors to calculate the LCM of 77712 and 77732.

LCM(77712,77732) = 2⁴ × 3¹ × 1619¹ × 19433¹
LCM(77712,77732) = 1510177296