What is the Least Common Multiple of 3564 and 3575?

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 3564 and 3575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3564 and 3575, than apply into the LCM equation.

GCF(3564,3575) = 11
LCM(3564,3575) = ( 3564 × 3575) / 11
LCM(3564,3575) = 12741300 / 11
LCM(3564,3575) = 1158300

Least Common Multiple (LCM) of 3564 and 3575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3564 and 3575. First we will calculate the prime factors of 3564 and 3575.

Prime Factorization of 3564

Prime Factorization of 3575

Now multiplying the highest exponent prime factors to calculate the LCM of 3564 and 3575.

LCM(3564,3575) = 2² × 3⁴ × 11¹ × 5² × 13¹
LCM(3564,3575) = 1158300