What is the Least Common Multiple of 70689 and 70701?

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 70689 and 70701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70689 and 70701, than apply into the LCM equation.

GCF(70689,70701) = 3
LCM(70689,70701) = ( 70689 × 70701) / 3
LCM(70689,70701) = 4997782989 / 3
LCM(70689,70701) = 1665927663

Least Common Multiple (LCM) of 70689 and 70701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70689 and 70701. First we will calculate the prime factors of 70689 and 70701.

Prime Factorization of 70689

Prime Factorization of 70701

Now multiplying the highest exponent prime factors to calculate the LCM of 70689 and 70701.

LCM(70689,70701) = 3¹ × 23563¹ × 23567¹
LCM(70689,70701) = 1665927663