What is the Least Common Multiple of 76256 and 76272?

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 76256 and 76272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76256 and 76272, than apply into the LCM equation.

GCF(76256,76272) = 16
LCM(76256,76272) = ( 76256 × 76272) / 16
LCM(76256,76272) = 5816197632 / 16
LCM(76256,76272) = 363512352

Least Common Multiple (LCM) of 76256 and 76272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76256 and 76272. First we will calculate the prime factors of 76256 and 76272.

Prime Factorization of 76256

Prime Factorization of 76272

Now multiplying the highest exponent prime factors to calculate the LCM of 76256 and 76272.

LCM(76256,76272) = 2⁵ × 2383¹ × 3¹ × 7¹ × 227¹
LCM(76256,76272) = 363512352