What is the Least Common Multiple of 79638 and 79653?

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 79638 and 79653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79638 and 79653, than apply into the LCM equation.

GCF(79638,79653) = 3
LCM(79638,79653) = ( 79638 × 79653) / 3
LCM(79638,79653) = 6343405614 / 3
LCM(79638,79653) = 2114468538

Least Common Multiple (LCM) of 79638 and 79653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79638 and 79653. First we will calculate the prime factors of 79638 and 79653.

Prime Factorization of 79638

Prime Factorization of 79653

Now multiplying the highest exponent prime factors to calculate the LCM of 79638 and 79653.

LCM(79638,79653) = 2¹ × 3¹ × 13¹ × 1021¹ × 7¹ × 3793¹
LCM(79638,79653) = 2114468538