What is the Least Common Multiple of 3525 and 3538?

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 3525 and 3538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3525 and 3538, than apply into the LCM equation.

GCF(3525,3538) = 1
LCM(3525,3538) = ( 3525 × 3538) / 1
LCM(3525,3538) = 12471450 / 1
LCM(3525,3538) = 12471450

Least Common Multiple (LCM) of 3525 and 3538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3525 and 3538. First we will calculate the prime factors of 3525 and 3538.

Prime Factorization of 3525

Prime Factorization of 3538

Now multiplying the highest exponent prime factors to calculate the LCM of 3525 and 3538.

LCM(3525,3538) = 3¹ × 5² × 47¹ × 2¹ × 29¹ × 61¹
LCM(3525,3538) = 12471450