What is the Least Common Multiple of 40605 and 40624?

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 40605 and 40624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40605 and 40624, than apply into the LCM equation.

GCF(40605,40624) = 1
LCM(40605,40624) = ( 40605 × 40624) / 1
LCM(40605,40624) = 1649537520 / 1
LCM(40605,40624) = 1649537520

Least Common Multiple (LCM) of 40605 and 40624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40605 and 40624. First we will calculate the prime factors of 40605 and 40624.

Prime Factorization of 40605

Prime Factorization of 40624

Now multiplying the highest exponent prime factors to calculate the LCM of 40605 and 40624.

LCM(40605,40624) = 3¹ × 5¹ × 2707¹ × 2⁴ × 2539¹
LCM(40605,40624) = 1649537520