What is the Least Common Multiple of 40646 and 40652?

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 40646 and 40652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40646 and 40652, than apply into the LCM equation.

GCF(40646,40652) = 2
LCM(40646,40652) = ( 40646 × 40652) / 2
LCM(40646,40652) = 1652341192 / 2
LCM(40646,40652) = 826170596

Least Common Multiple (LCM) of 40646 and 40652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40646 and 40652. First we will calculate the prime factors of 40646 and 40652.

Prime Factorization of 40646

Prime Factorization of 40652

Now multiplying the highest exponent prime factors to calculate the LCM of 40646 and 40652.

LCM(40646,40652) = 2² × 20323¹ × 10163¹
LCM(40646,40652) = 826170596