What is the Least Common Multiple of 70868 and 70875?

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 70868 and 70875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70868 and 70875, than apply into the LCM equation.

GCF(70868,70875) = 7
LCM(70868,70875) = ( 70868 × 70875) / 7
LCM(70868,70875) = 5022769500 / 7
LCM(70868,70875) = 717538500

Least Common Multiple (LCM) of 70868 and 70875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70868 and 70875. First we will calculate the prime factors of 70868 and 70875.

Prime Factorization of 70868

Prime Factorization of 70875

Now multiplying the highest exponent prime factors to calculate the LCM of 70868 and 70875.

LCM(70868,70875) = 2² × 7¹ × 2531¹ × 3⁴ × 5³
LCM(70868,70875) = 717538500