What is the Least Common Multiple of 79628 and 79634?

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 79628 and 79634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79628 and 79634, than apply into the LCM equation.

GCF(79628,79634) = 2
LCM(79628,79634) = ( 79628 × 79634) / 2
LCM(79628,79634) = 6341096152 / 2
LCM(79628,79634) = 3170548076

Least Common Multiple (LCM) of 79628 and 79634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79628 and 79634. First we will calculate the prime factors of 79628 and 79634.

Prime Factorization of 79628

Prime Factorization of 79634

Now multiplying the highest exponent prime factors to calculate the LCM of 79628 and 79634.

LCM(79628,79634) = 2² × 17¹ × 1171¹ × 29¹ × 1373¹
LCM(79628,79634) = 3170548076