What is the Least Common Multiple of 17542 and 17552?

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 17542 and 17552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17542 and 17552, than apply into the LCM equation.

GCF(17542,17552) = 2
LCM(17542,17552) = ( 17542 × 17552) / 2
LCM(17542,17552) = 307897184 / 2
LCM(17542,17552) = 153948592

Least Common Multiple (LCM) of 17542 and 17552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17542 and 17552. First we will calculate the prime factors of 17542 and 17552.

Prime Factorization of 17542

Prime Factorization of 17552

Now multiplying the highest exponent prime factors to calculate the LCM of 17542 and 17552.

LCM(17542,17552) = 2⁴ × 7² × 179¹ × 1097¹
LCM(17542,17552) = 153948592