What is the Least Common Multiple of 79667 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 79667 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 79667 and 79672, than apply into the LCM equation.

GCF(79667,79672) = 1
LCM(79667,79672) = ( 79667 × 79672) / 1
LCM(79667,79672) = 6347229224 / 1
LCM(79667,79672) = 6347229224

Least Common Multiple (LCM) of 79667 and 79672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79667 and 79672. First we will calculate the prime factors of 79667 and 79672.

Prime Factorization of 79667

Prime Factorization of 79672

Now multiplying the highest exponent prime factors to calculate the LCM of 79667 and 79672.

LCM(79667,79672) = 7¹ × 19¹ × 599¹ × 2³ × 23¹ × 433¹
LCM(79667,79672) = 6347229224