What is the Least Common Multiple of 35600 and 35617?

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 35617 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 35617, than apply into the LCM equation.

GCF(35600,35617) = 1
LCM(35600,35617) = ( 35600 × 35617) / 1
LCM(35600,35617) = 1267965200 / 1
LCM(35600,35617) = 1267965200

Least Common Multiple (LCM) of 35600 and 35617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35600 and 35617. First we will calculate the prime factors of 35600 and 35617.

Prime Factorization of 35600

Prime Factorization of 35617

Now multiplying the highest exponent prime factors to calculate the LCM of 35600 and 35617.

LCM(35600,35617) = 2⁴ × 5² × 89¹ × 35617¹
LCM(35600,35617) = 1267965200