What is the Least Common Multiple of 36651 and 36660?

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 36651 and 36660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36651 and 36660, than apply into the LCM equation.

GCF(36651,36660) = 3
LCM(36651,36660) = ( 36651 × 36660) / 3
LCM(36651,36660) = 1343625660 / 3
LCM(36651,36660) = 447875220

Least Common Multiple (LCM) of 36651 and 36660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36651 and 36660. First we will calculate the prime factors of 36651 and 36660.

Prime Factorization of 36651

Prime Factorization of 36660

Now multiplying the highest exponent prime factors to calculate the LCM of 36651 and 36660.

LCM(36651,36660) = 3¹ × 19¹ × 643¹ × 2² × 5¹ × 13¹ × 47¹
LCM(36651,36660) = 447875220