What is the Least Common Multiple of 72256 and 72274?

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 72256 and 72274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72256 and 72274, than apply into the LCM equation.

GCF(72256,72274) = 2
LCM(72256,72274) = ( 72256 × 72274) / 2
LCM(72256,72274) = 5222230144 / 2
LCM(72256,72274) = 2611115072

Least Common Multiple (LCM) of 72256 and 72274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72256 and 72274. First we will calculate the prime factors of 72256 and 72274.

Prime Factorization of 72256

Prime Factorization of 72274

Now multiplying the highest exponent prime factors to calculate the LCM of 72256 and 72274.

LCM(72256,72274) = 2⁶ × 1129¹ × 36137¹
LCM(72256,72274) = 2611115072