What is the Least Common Multiple of 79675 and 79689?

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 79675 and 79689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79675 and 79689, than apply into the LCM equation.

GCF(79675,79689) = 1
LCM(79675,79689) = ( 79675 × 79689) / 1
LCM(79675,79689) = 6349221075 / 1
LCM(79675,79689) = 6349221075

Least Common Multiple (LCM) of 79675 and 79689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79675 and 79689. First we will calculate the prime factors of 79675 and 79689.

Prime Factorization of 79675

Prime Factorization of 79689

Now multiplying the highest exponent prime factors to calculate the LCM of 79675 and 79689.

LCM(79675,79689) = 5² × 3187¹ × 3¹ × 101¹ × 263¹
LCM(79675,79689) = 6349221075