What is the Least Common Multiple of 3538 and 3544?

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 3538 and 3544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3538 and 3544, than apply into the LCM equation.

GCF(3538,3544) = 2
LCM(3538,3544) = ( 3538 × 3544) / 2
LCM(3538,3544) = 12538672 / 2
LCM(3538,3544) = 6269336

Least Common Multiple (LCM) of 3538 and 3544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3538 and 3544. First we will calculate the prime factors of 3538 and 3544.

Prime Factorization of 3538

Prime Factorization of 3544

Now multiplying the highest exponent prime factors to calculate the LCM of 3538 and 3544.

LCM(3538,3544) = 2³ × 29¹ × 61¹ × 443¹
LCM(3538,3544) = 6269336