What is the Least Common Multiple of 38370 and 38380?

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 38370 and 38380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38370 and 38380, than apply into the LCM equation.

GCF(38370,38380) = 10
LCM(38370,38380) = ( 38370 × 38380) / 10
LCM(38370,38380) = 1472640600 / 10
LCM(38370,38380) = 147264060

Least Common Multiple (LCM) of 38370 and 38380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38370 and 38380. First we will calculate the prime factors of 38370 and 38380.

Prime Factorization of 38370

Prime Factorization of 38380

Now multiplying the highest exponent prime factors to calculate the LCM of 38370 and 38380.

LCM(38370,38380) = 2² × 3¹ × 5¹ × 1279¹ × 19¹ × 101¹
LCM(38370,38380) = 147264060