What is the Least Common Multiple of 35600 and 35618?

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 35600 and 35618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35600 and 35618, than apply into the LCM equation.

GCF(35600,35618) = 2
LCM(35600,35618) = ( 35600 × 35618) / 2
LCM(35600,35618) = 1268000800 / 2
LCM(35600,35618) = 634000400

Least Common Multiple (LCM) of 35600 and 35618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35600 and 35618. First we will calculate the prime factors of 35600 and 35618.

Prime Factorization of 35600

Prime Factorization of 35618

Now multiplying the highest exponent prime factors to calculate the LCM of 35600 and 35618.

LCM(35600,35618) = 2⁴ × 5² × 89¹ × 11¹ × 1619¹
LCM(35600,35618) = 634000400