What is the Least Common Multiple of 3576 and 3588?

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 3576 and 3588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3576 and 3588, than apply into the LCM equation.

GCF(3576,3588) = 12
LCM(3576,3588) = ( 3576 × 3588) / 12
LCM(3576,3588) = 12830688 / 12
LCM(3576,3588) = 1069224

Least Common Multiple (LCM) of 3576 and 3588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3576 and 3588. First we will calculate the prime factors of 3576 and 3588.

Prime Factorization of 3576

Prime Factorization of 3588

Now multiplying the highest exponent prime factors to calculate the LCM of 3576 and 3588.

LCM(3576,3588) = 2³ × 3¹ × 149¹ × 13¹ × 23¹
LCM(3576,3588) = 1069224