What is the Least Common Multiple of 73696 and 73712?

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 73696 and 73712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73696 and 73712, than apply into the LCM equation.

GCF(73696,73712) = 16
LCM(73696,73712) = ( 73696 × 73712) / 16
LCM(73696,73712) = 5432279552 / 16
LCM(73696,73712) = 339517472

Least Common Multiple (LCM) of 73696 and 73712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73696 and 73712. First we will calculate the prime factors of 73696 and 73712.

Prime Factorization of 73696

Prime Factorization of 73712

Now multiplying the highest exponent prime factors to calculate the LCM of 73696 and 73712.

LCM(73696,73712) = 2⁵ × 7² × 47¹ × 17¹ × 271¹
LCM(73696,73712) = 339517472