What is the Least Common Multiple of 17600 and 17617?

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 17617 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 17617, than apply into the LCM equation.

GCF(17600,17617) = 1
LCM(17600,17617) = ( 17600 × 17617) / 1
LCM(17600,17617) = 310059200 / 1
LCM(17600,17617) = 310059200

Least Common Multiple (LCM) of 17600 and 17617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17600 and 17617. First we will calculate the prime factors of 17600 and 17617.

Prime Factorization of 17600

Prime Factorization of 17617

Now multiplying the highest exponent prime factors to calculate the LCM of 17600 and 17617.

LCM(17600,17617) = 2⁶ × 5² × 11¹ × 79¹ × 223¹
LCM(17600,17617) = 310059200