What is the Least Common Multiple of 3512 and 3528?

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 3512 and 3528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3512 and 3528, than apply into the LCM equation.

GCF(3512,3528) = 8
LCM(3512,3528) = ( 3512 × 3528) / 8
LCM(3512,3528) = 12390336 / 8
LCM(3512,3528) = 1548792

Least Common Multiple (LCM) of 3512 and 3528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3512 and 3528. First we will calculate the prime factors of 3512 and 3528.

Prime Factorization of 3512

Prime Factorization of 3528

Now multiplying the highest exponent prime factors to calculate the LCM of 3512 and 3528.

LCM(3512,3528) = 2³ × 439¹ × 3² × 7²
LCM(3512,3528) = 1548792