What is the Least Common Multiple of 17600 and 17612?

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 17600 and 17612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17600 and 17612, than apply into the LCM equation.

GCF(17600,17612) = 4
LCM(17600,17612) = ( 17600 × 17612) / 4
LCM(17600,17612) = 309971200 / 4
LCM(17600,17612) = 77492800

Least Common Multiple (LCM) of 17600 and 17612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17600 and 17612. First we will calculate the prime factors of 17600 and 17612.

Prime Factorization of 17600

Prime Factorization of 17612

Now multiplying the highest exponent prime factors to calculate the LCM of 17600 and 17612.

LCM(17600,17612) = 2⁶ × 5² × 11¹ × 7¹ × 17¹ × 37¹
LCM(17600,17612) = 77492800