What is the Least Common Multiple of 40617 and 40635?

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 40617 and 40635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40617 and 40635, than apply into the LCM equation.

GCF(40617,40635) = 9
LCM(40617,40635) = ( 40617 × 40635) / 9
LCM(40617,40635) = 1650471795 / 9
LCM(40617,40635) = 183385755

Least Common Multiple (LCM) of 40617 and 40635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40617 and 40635. First we will calculate the prime factors of 40617 and 40635.

Prime Factorization of 40617

Prime Factorization of 40635

Now multiplying the highest exponent prime factors to calculate the LCM of 40617 and 40635.

LCM(40617,40635) = 3³ × 4513¹ × 5¹ × 7¹ × 43¹
LCM(40617,40635) = 183385755