What is the Least Common Multiple of 70641 and 70659?

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 70641 and 70659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70641 and 70659, than apply into the LCM equation.

GCF(70641,70659) = 9
LCM(70641,70659) = ( 70641 × 70659) / 9
LCM(70641,70659) = 4991422419 / 9
LCM(70641,70659) = 554602491

Least Common Multiple (LCM) of 70641 and 70659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70641 and 70659. First we will calculate the prime factors of 70641 and 70659.

Prime Factorization of 70641

Prime Factorization of 70659

Now multiplying the highest exponent prime factors to calculate the LCM of 70641 and 70659.

LCM(70641,70659) = 3³ × 47¹ × 167¹ × 2617¹
LCM(70641,70659) = 554602491