What is the Least Common Multiple of 36360 and 36380?

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 36360 and 36380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36360 and 36380, than apply into the LCM equation.

GCF(36360,36380) = 20
LCM(36360,36380) = ( 36360 × 36380) / 20
LCM(36360,36380) = 1322776800 / 20
LCM(36360,36380) = 66138840

Least Common Multiple (LCM) of 36360 and 36380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36360 and 36380. First we will calculate the prime factors of 36360 and 36380.

Prime Factorization of 36360

Prime Factorization of 36380

Now multiplying the highest exponent prime factors to calculate the LCM of 36360 and 36380.

LCM(36360,36380) = 2³ × 3² × 5¹ × 101¹ × 17¹ × 107¹
LCM(36360,36380) = 66138840