What is the Least Common Multiple of 36512 and 36530?

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 36512 and 36530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36512 and 36530, than apply into the LCM equation.

GCF(36512,36530) = 2
LCM(36512,36530) = ( 36512 × 36530) / 2
LCM(36512,36530) = 1333783360 / 2
LCM(36512,36530) = 666891680

Least Common Multiple (LCM) of 36512 and 36530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36512 and 36530. First we will calculate the prime factors of 36512 and 36530.

Prime Factorization of 36512

Prime Factorization of 36530

Now multiplying the highest exponent prime factors to calculate the LCM of 36512 and 36530.

LCM(36512,36530) = 2⁵ × 7¹ × 163¹ × 5¹ × 13¹ × 281¹
LCM(36512,36530) = 666891680