What is the Least Common Multiple of 70875 and 70894?

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 70875 and 70894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70875 and 70894, than apply into the LCM equation.

GCF(70875,70894) = 1
LCM(70875,70894) = ( 70875 × 70894) / 1
LCM(70875,70894) = 5024612250 / 1
LCM(70875,70894) = 5024612250

Least Common Multiple (LCM) of 70875 and 70894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70875 and 70894. First we will calculate the prime factors of 70875 and 70894.

Prime Factorization of 70875

Prime Factorization of 70894

Now multiplying the highest exponent prime factors to calculate the LCM of 70875 and 70894.

LCM(70875,70894) = 3⁴ × 5³ × 7¹ × 2¹ × 35447¹
LCM(70875,70894) = 5024612250