What is the Least Common Multiple of 76452 and 76456?

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 76452 and 76456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76452 and 76456, than apply into the LCM equation.

GCF(76452,76456) = 4
LCM(76452,76456) = ( 76452 × 76456) / 4
LCM(76452,76456) = 5845214112 / 4
LCM(76452,76456) = 1461303528

Least Common Multiple (LCM) of 76452 and 76456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76452 and 76456. First we will calculate the prime factors of 76452 and 76456.

Prime Factorization of 76452

Prime Factorization of 76456

Now multiplying the highest exponent prime factors to calculate the LCM of 76452 and 76456.

LCM(76452,76456) = 2³ × 3¹ × 23¹ × 277¹ × 19¹ × 503¹
LCM(76452,76456) = 1461303528