What is the Least Common Multiple of 36256 and 36260?

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 36256 and 36260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36256 and 36260, than apply into the LCM equation.

GCF(36256,36260) = 4
LCM(36256,36260) = ( 36256 × 36260) / 4
LCM(36256,36260) = 1314642560 / 4
LCM(36256,36260) = 328660640

Least Common Multiple (LCM) of 36256 and 36260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36256 and 36260. First we will calculate the prime factors of 36256 and 36260.

Prime Factorization of 36256

Prime Factorization of 36260

Now multiplying the highest exponent prime factors to calculate the LCM of 36256 and 36260.

LCM(36256,36260) = 2⁵ × 11¹ × 103¹ × 5¹ × 7² × 37¹
LCM(36256,36260) = 328660640