What is the Least Common Multiple of 79680 and 79690?

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 79680 and 79690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79680 and 79690, than apply into the LCM equation.

GCF(79680,79690) = 10
LCM(79680,79690) = ( 79680 × 79690) / 10
LCM(79680,79690) = 6349699200 / 10
LCM(79680,79690) = 634969920

Least Common Multiple (LCM) of 79680 and 79690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79680 and 79690. First we will calculate the prime factors of 79680 and 79690.

Prime Factorization of 79680

Prime Factorization of 79690

Now multiplying the highest exponent prime factors to calculate the LCM of 79680 and 79690.

LCM(79680,79690) = 2⁶ × 3¹ × 5¹ × 83¹ × 13¹ × 613¹
LCM(79680,79690) = 634969920