What is the Least Common Multiple of 79628 and 79640?

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 79640 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 79640, than apply into the LCM equation.

GCF(79628,79640) = 4
LCM(79628,79640) = ( 79628 × 79640) / 4
LCM(79628,79640) = 6341573920 / 4
LCM(79628,79640) = 1585393480

Least Common Multiple (LCM) of 79628 and 79640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79628 and 79640. First we will calculate the prime factors of 79628 and 79640.

Prime Factorization of 79628

Prime Factorization of 79640

Now multiplying the highest exponent prime factors to calculate the LCM of 79628 and 79640.

LCM(79628,79640) = 2³ × 17¹ × 1171¹ × 5¹ × 11¹ × 181¹
LCM(79628,79640) = 1585393480