What is the Least Common Multiple of 47256 and 47270?

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 47256 and 47270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47256 and 47270, than apply into the LCM equation.

GCF(47256,47270) = 2
LCM(47256,47270) = ( 47256 × 47270) / 2
LCM(47256,47270) = 2233791120 / 2
LCM(47256,47270) = 1116895560

Least Common Multiple (LCM) of 47256 and 47270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47256 and 47270. First we will calculate the prime factors of 47256 and 47270.

Prime Factorization of 47256

Prime Factorization of 47270

Now multiplying the highest exponent prime factors to calculate the LCM of 47256 and 47270.

LCM(47256,47270) = 2³ × 3¹ × 11¹ × 179¹ × 5¹ × 29¹ × 163¹
LCM(47256,47270) = 1116895560