What is the Least Common Multiple of 40368 and 40380?

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 40368 and 40380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40368 and 40380, than apply into the LCM equation.

GCF(40368,40380) = 12
LCM(40368,40380) = ( 40368 × 40380) / 12
LCM(40368,40380) = 1630059840 / 12
LCM(40368,40380) = 135838320

Least Common Multiple (LCM) of 40368 and 40380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40368 and 40380. First we will calculate the prime factors of 40368 and 40380.

Prime Factorization of 40368

Prime Factorization of 40380

Now multiplying the highest exponent prime factors to calculate the LCM of 40368 and 40380.

LCM(40368,40380) = 2⁴ × 3¹ × 29² × 5¹ × 673¹
LCM(40368,40380) = 135838320