What is the Least Common Multiple of 17552 and 17572?

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 17552 and 17572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17552 and 17572, than apply into the LCM equation.

GCF(17552,17572) = 4
LCM(17552,17572) = ( 17552 × 17572) / 4
LCM(17552,17572) = 308423744 / 4
LCM(17552,17572) = 77105936

Least Common Multiple (LCM) of 17552 and 17572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17552 and 17572. First we will calculate the prime factors of 17552 and 17572.

Prime Factorization of 17552

Prime Factorization of 17572

Now multiplying the highest exponent prime factors to calculate the LCM of 17552 and 17572.

LCM(17552,17572) = 2⁴ × 1097¹ × 23¹ × 191¹
LCM(17552,17572) = 77105936