What is the Least Common Multiple of 40635 and 40642?

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 40635 and 40642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40635 and 40642, than apply into the LCM equation.

GCF(40635,40642) = 7
LCM(40635,40642) = ( 40635 × 40642) / 7
LCM(40635,40642) = 1651487670 / 7
LCM(40635,40642) = 235926810

Least Common Multiple (LCM) of 40635 and 40642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40635 and 40642. First we will calculate the prime factors of 40635 and 40642.

Prime Factorization of 40635

Prime Factorization of 40642

Now multiplying the highest exponent prime factors to calculate the LCM of 40635 and 40642.

LCM(40635,40642) = 3³ × 5¹ × 7¹ × 43¹ × 2¹ × 2903¹
LCM(40635,40642) = 235926810