What is the Least Common Multiple of 77538 and 77552?

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 77538 and 77552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77538 and 77552, than apply into the LCM equation.

GCF(77538,77552) = 2
LCM(77538,77552) = ( 77538 × 77552) / 2
LCM(77538,77552) = 6013226976 / 2
LCM(77538,77552) = 3006613488

Least Common Multiple (LCM) of 77538 and 77552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77538 and 77552. First we will calculate the prime factors of 77538 and 77552.

Prime Factorization of 77538

Prime Factorization of 77552

Now multiplying the highest exponent prime factors to calculate the LCM of 77538 and 77552.

LCM(77538,77552) = 2⁴ × 3¹ × 12923¹ × 37¹ × 131¹
LCM(77538,77552) = 3006613488