What is the Least Common Multiple of 3528 and 3542?

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 3528 and 3542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3528 and 3542, than apply into the LCM equation.

GCF(3528,3542) = 14
LCM(3528,3542) = ( 3528 × 3542) / 14
LCM(3528,3542) = 12496176 / 14
LCM(3528,3542) = 892584

Least Common Multiple (LCM) of 3528 and 3542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3528 and 3542. First we will calculate the prime factors of 3528 and 3542.

Prime Factorization of 3528

Prime Factorization of 3542

Now multiplying the highest exponent prime factors to calculate the LCM of 3528 and 3542.

LCM(3528,3542) = 2³ × 3² × 7² × 11¹ × 23¹
LCM(3528,3542) = 892584