What is the Least Common Multiple of 77752 and 77756?

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 77752 and 77756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77752 and 77756, than apply into the LCM equation.

GCF(77752,77756) = 4
LCM(77752,77756) = ( 77752 × 77756) / 4
LCM(77752,77756) = 6045684512 / 4
LCM(77752,77756) = 1511421128

Least Common Multiple (LCM) of 77752 and 77756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77752 and 77756. First we will calculate the prime factors of 77752 and 77756.

Prime Factorization of 77752

Prime Factorization of 77756

Now multiplying the highest exponent prime factors to calculate the LCM of 77752 and 77756.

LCM(77752,77756) = 2³ × 9719¹ × 7¹ × 2777¹
LCM(77752,77756) = 1511421128