GCF and LCM Calculator Logo

What is the Least Common Multiple of 17532 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 (LCM) of 17532 and 17552 is 76930416.

LCM(17532,17552) = 76930416

LCM Calculator and
and

Least Common Multiple of 17532 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 17532 and 17552, than apply into the LCM equation.

GCF(17532,17552) = 4
LCM(17532,17552) = ( 17532 × 17552) / 4
LCM(17532,17552) = 307721664 / 4
LCM(17532,17552) = 76930416

Least Common Multiple (LCM) of 17532 and 17552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17532 and 17552. First we will calculate the prime factors of 17532 and 17552.

Prime Factorization of 17532

Prime factors of 17532 are 2, 3, 487. Prime factorization of 17532 in exponential form is:

17532 = 22 × 32 × 4871

Prime Factorization of 17552

Prime factors of 17552 are 2, 1097. Prime factorization of 17552 in exponential form is:

17552 = 24 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 17532 and 17552.

LCM(17532,17552) = 24 × 32 × 4871 × 10971
LCM(17532,17552) = 76930416