What is the Least Common Multiple of 79628 and 79648?

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 79648 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 79648, than apply into the LCM equation.

GCF(79628,79648) = 4
LCM(79628,79648) = ( 79628 × 79648) / 4
LCM(79628,79648) = 6342210944 / 4
LCM(79628,79648) = 1585552736

Least Common Multiple (LCM) of 79628 and 79648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79628 and 79648. First we will calculate the prime factors of 79628 and 79648.

Prime Factorization of 79628

Prime Factorization of 79648

Now multiplying the highest exponent prime factors to calculate the LCM of 79628 and 79648.

LCM(79628,79648) = 2⁵ × 17¹ × 1171¹ × 19¹ × 131¹
LCM(79628,79648) = 1585552736