What is the Least Common Multiple of 70659 and 70679?

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 70679 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 70679, than apply into the LCM equation.

GCF(70659,70679) = 1
LCM(70659,70679) = ( 70659 × 70679) / 1
LCM(70659,70679) = 4994107461 / 1
LCM(70659,70679) = 4994107461

Least Common Multiple (LCM) of 70659 and 70679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70659 and 70679. First we will calculate the prime factors of 70659 and 70679.

Prime Factorization of 70659

Prime Factorization of 70679

Now multiplying the highest exponent prime factors to calculate the LCM of 70659 and 70679.

LCM(70659,70679) = 3³ × 2617¹ × 7¹ × 23¹ × 439¹
LCM(70659,70679) = 4994107461