What is the Least Common Multiple of 73438 and 73456?

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 73438 and 73456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73438 and 73456, than apply into the LCM equation.

GCF(73438,73456) = 2
LCM(73438,73456) = ( 73438 × 73456) / 2
LCM(73438,73456) = 5394461728 / 2
LCM(73438,73456) = 2697230864

Least Common Multiple (LCM) of 73438 and 73456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73438 and 73456. First we will calculate the prime factors of 73438 and 73456.

Prime Factorization of 73438

Prime Factorization of 73456

Now multiplying the highest exponent prime factors to calculate the LCM of 73438 and 73456.

LCM(73438,73456) = 2⁴ × 73¹ × 503¹ × 4591¹
LCM(73438,73456) = 2697230864