What is the Least Common Multiple of 1374 and 1380?

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 1374 and 1380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1374 and 1380, than apply into the LCM equation.

GCF(1374,1380) = 6
LCM(1374,1380) = ( 1374 × 1380) / 6
LCM(1374,1380) = 1896120 / 6
LCM(1374,1380) = 316020

Least Common Multiple (LCM) of 1374 and 1380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1374 and 1380. First we will calculate the prime factors of 1374 and 1380.

Prime Factorization of 1374

Prime Factorization of 1380

Now multiplying the highest exponent prime factors to calculate the LCM of 1374 and 1380.

LCM(1374,1380) = 2² × 3¹ × 229¹ × 5¹ × 23¹
LCM(1374,1380) = 316020