What is the Least Common Multiple of 79662 and 79672?

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 79662 and 79672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79662 and 79672, than apply into the LCM equation.

GCF(79662,79672) = 2
LCM(79662,79672) = ( 79662 × 79672) / 2
LCM(79662,79672) = 6346830864 / 2
LCM(79662,79672) = 3173415432

Least Common Multiple (LCM) of 79662 and 79672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79662 and 79672. First we will calculate the prime factors of 79662 and 79672.

Prime Factorization of 79662

Prime Factorization of 79672

Now multiplying the highest exponent prime factors to calculate the LCM of 79662 and 79672.

LCM(79662,79672) = 2³ × 3¹ × 11¹ × 17¹ × 71¹ × 23¹ × 433¹
LCM(79662,79672) = 3173415432