What is the Least Common Multiple of 70659 and 70667?

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 70659 and 70667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70659 and 70667, than apply into the LCM equation.

GCF(70659,70667) = 1
LCM(70659,70667) = ( 70659 × 70667) / 1
LCM(70659,70667) = 4993259553 / 1
LCM(70659,70667) = 4993259553

Least Common Multiple (LCM) of 70659 and 70667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70659 and 70667. First we will calculate the prime factors of 70659 and 70667.

Prime Factorization of 70659

Prime Factorization of 70667

Now multiplying the highest exponent prime factors to calculate the LCM of 70659 and 70667.

LCM(70659,70667) = 3³ × 2617¹ × 70667¹
LCM(70659,70667) = 4993259553