What is the Least Common Multiple of 40640 and 40658?

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 40640 and 40658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40640 and 40658, than apply into the LCM equation.

GCF(40640,40658) = 2
LCM(40640,40658) = ( 40640 × 40658) / 2
LCM(40640,40658) = 1652341120 / 2
LCM(40640,40658) = 826170560

Least Common Multiple (LCM) of 40640 and 40658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40640 and 40658. First we will calculate the prime factors of 40640 and 40658.

Prime Factorization of 40640

Prime Factorization of 40658

Now multiplying the highest exponent prime factors to calculate the LCM of 40640 and 40658.

LCM(40640,40658) = 2⁶ × 5¹ × 127¹ × 29¹ × 701¹
LCM(40640,40658) = 826170560