What is the Least Common Multiple of 87256 and 87270?

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 87256 and 87270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87256 and 87270, than apply into the LCM equation.

GCF(87256,87270) = 2
LCM(87256,87270) = ( 87256 × 87270) / 2
LCM(87256,87270) = 7614831120 / 2
LCM(87256,87270) = 3807415560

Least Common Multiple (LCM) of 87256 and 87270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87256 and 87270. First we will calculate the prime factors of 87256 and 87270.

Prime Factorization of 87256

Prime Factorization of 87270

Now multiplying the highest exponent prime factors to calculate the LCM of 87256 and 87270.

LCM(87256,87270) = 2³ × 13¹ × 839¹ × 3¹ × 5¹ × 2909¹
LCM(87256,87270) = 3807415560