What is the Least Common Multiple of 36380 and 36390?

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 36380 and 36390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36380 and 36390, than apply into the LCM equation.

GCF(36380,36390) = 10
LCM(36380,36390) = ( 36380 × 36390) / 10
LCM(36380,36390) = 1323868200 / 10
LCM(36380,36390) = 132386820

Least Common Multiple (LCM) of 36380 and 36390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36380 and 36390. First we will calculate the prime factors of 36380 and 36390.

Prime Factorization of 36380

Prime Factorization of 36390

Now multiplying the highest exponent prime factors to calculate the LCM of 36380 and 36390.

LCM(36380,36390) = 2² × 5¹ × 17¹ × 107¹ × 3¹ × 1213¹
LCM(36380,36390) = 132386820