What is the Least Common Multiple of 70599 and 70607?

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 70599 and 70607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70599 and 70607, than apply into the LCM equation.

GCF(70599,70607) = 1
LCM(70599,70607) = ( 70599 × 70607) / 1
LCM(70599,70607) = 4984783593 / 1
LCM(70599,70607) = 4984783593

Least Common Multiple (LCM) of 70599 and 70607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70599 and 70607. First we will calculate the prime factors of 70599 and 70607.

Prime Factorization of 70599

Prime Factorization of 70607

Now multiplying the highest exponent prime factors to calculate the LCM of 70599 and 70607.

LCM(70599,70607) = 3¹ × 101¹ × 233¹ × 70607¹
LCM(70599,70607) = 4984783593