What is the Least Common Multiple of 79546 and 79552?

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 79546 and 79552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79546 and 79552, than apply into the LCM equation.

GCF(79546,79552) = 2
LCM(79546,79552) = ( 79546 × 79552) / 2
LCM(79546,79552) = 6328043392 / 2
LCM(79546,79552) = 3164021696

Least Common Multiple (LCM) of 79546 and 79552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79546 and 79552. First we will calculate the prime factors of 79546 and 79552.

Prime Factorization of 79546

Prime Factorization of 79552

Now multiplying the highest exponent prime factors to calculate the LCM of 79546 and 79552.

LCM(79546,79552) = 2⁶ × 31¹ × 1283¹ × 11¹ × 113¹
LCM(79546,79552) = 3164021696