What is the Least Common Multiple of 79671 and 79688?

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 79671 and 79688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79671 and 79688, than apply into the LCM equation.

GCF(79671,79688) = 1
LCM(79671,79688) = ( 79671 × 79688) / 1
LCM(79671,79688) = 6348822648 / 1
LCM(79671,79688) = 6348822648

Least Common Multiple (LCM) of 79671 and 79688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79671 and 79688. First we will calculate the prime factors of 79671 and 79688.

Prime Factorization of 79671

Prime Factorization of 79688

Now multiplying the highest exponent prime factors to calculate the LCM of 79671 and 79688.

LCM(79671,79688) = 3¹ × 26557¹ × 2³ × 7¹ × 1423¹
LCM(79671,79688) = 6348822648