What is the Least Common Multiple of 77256 and 77276?

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 77256 and 77276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77256 and 77276, than apply into the LCM equation.

GCF(77256,77276) = 4
LCM(77256,77276) = ( 77256 × 77276) / 4
LCM(77256,77276) = 5970034656 / 4
LCM(77256,77276) = 1492508664

Least Common Multiple (LCM) of 77256 and 77276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77256 and 77276. First we will calculate the prime factors of 77256 and 77276.

Prime Factorization of 77256

Prime Factorization of 77276

Now multiplying the highest exponent prime factors to calculate the LCM of 77256 and 77276.

LCM(77256,77276) = 2³ × 3² × 29¹ × 37¹ × 19319¹
LCM(77256,77276) = 1492508664