What is the Least Common Multiple of 70689 and 70693?

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 70693 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 70693, than apply into the LCM equation.

GCF(70689,70693) = 1
LCM(70689,70693) = ( 70689 × 70693) / 1
LCM(70689,70693) = 4997217477 / 1
LCM(70689,70693) = 4997217477

Least Common Multiple (LCM) of 70689 and 70693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70689 and 70693. First we will calculate the prime factors of 70689 and 70693.

Prime Factorization of 70689

Prime Factorization of 70693

Now multiplying the highest exponent prime factors to calculate the LCM of 70689 and 70693.

LCM(70689,70693) = 3¹ × 23563¹ × 7¹ × 10099¹
LCM(70689,70693) = 4997217477