What is the Least Common Multiple of 40352 and 40372?

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 40352 and 40372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40352 and 40372, than apply into the LCM equation.

GCF(40352,40372) = 4
LCM(40352,40372) = ( 40352 × 40372) / 4
LCM(40352,40372) = 1629090944 / 4
LCM(40352,40372) = 407272736

Least Common Multiple (LCM) of 40352 and 40372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40352 and 40372. First we will calculate the prime factors of 40352 and 40372.

Prime Factorization of 40352

Prime Factorization of 40372

Now multiplying the highest exponent prime factors to calculate the LCM of 40352 and 40372.

LCM(40352,40372) = 2⁵ × 13¹ × 97¹ × 10093¹
LCM(40352,40372) = 407272736