What is the Least Common Multiple of 40356 and 40368?

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 40356 and 40368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40356 and 40368, than apply into the LCM equation.

GCF(40356,40368) = 12
LCM(40356,40368) = ( 40356 × 40368) / 12
LCM(40356,40368) = 1629091008 / 12
LCM(40356,40368) = 135757584

Least Common Multiple (LCM) of 40356 and 40368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40356 and 40368. First we will calculate the prime factors of 40356 and 40368.

Prime Factorization of 40356

Prime Factorization of 40368

Now multiplying the highest exponent prime factors to calculate the LCM of 40356 and 40368.

LCM(40356,40368) = 2⁴ × 3² × 19¹ × 59¹ × 29²
LCM(40356,40368) = 135757584