What is the Least Common Multiple of 36564 and 36575?

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 36564 and 36575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36564 and 36575, than apply into the LCM equation.

GCF(36564,36575) = 11
LCM(36564,36575) = ( 36564 × 36575) / 11
LCM(36564,36575) = 1337328300 / 11
LCM(36564,36575) = 121575300

Least Common Multiple (LCM) of 36564 and 36575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36564 and 36575. First we will calculate the prime factors of 36564 and 36575.

Prime Factorization of 36564

Prime Factorization of 36575

Now multiplying the highest exponent prime factors to calculate the LCM of 36564 and 36575.

LCM(36564,36575) = 2² × 3¹ × 11¹ × 277¹ × 5² × 7¹ × 19¹
LCM(36564,36575) = 121575300