What is the Least Common Multiple of 70875 and 70881?

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 70881 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 70881, than apply into the LCM equation.

GCF(70875,70881) = 3
LCM(70875,70881) = ( 70875 × 70881) / 3
LCM(70875,70881) = 5023690875 / 3
LCM(70875,70881) = 1674563625

Least Common Multiple (LCM) of 70875 and 70881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70875 and 70881. First we will calculate the prime factors of 70875 and 70881.

Prime Factorization of 70875

Prime Factorization of 70881

Now multiplying the highest exponent prime factors to calculate the LCM of 70875 and 70881.

LCM(70875,70881) = 3⁴ × 5³ × 7¹ × 23627¹
LCM(70875,70881) = 1674563625