What is the Least Common Multiple of 41352 and 41360?

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 41352 and 41360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41352 and 41360, than apply into the LCM equation.

GCF(41352,41360) = 8
LCM(41352,41360) = ( 41352 × 41360) / 8
LCM(41352,41360) = 1710318720 / 8
LCM(41352,41360) = 213789840

Least Common Multiple (LCM) of 41352 and 41360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41352 and 41360. First we will calculate the prime factors of 41352 and 41360.

Prime Factorization of 41352

Prime Factorization of 41360

Now multiplying the highest exponent prime factors to calculate the LCM of 41352 and 41360.

LCM(41352,41360) = 2⁴ × 3¹ × 1723¹ × 5¹ × 11¹ × 47¹
LCM(41352,41360) = 213789840