What is the Least Common Multiple of 70893 and 70908?

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 70893 and 70908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70893 and 70908, than apply into the LCM equation.

GCF(70893,70908) = 3
LCM(70893,70908) = ( 70893 × 70908) / 3
LCM(70893,70908) = 5026880844 / 3
LCM(70893,70908) = 1675626948

Least Common Multiple (LCM) of 70893 and 70908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70893 and 70908. First we will calculate the prime factors of 70893 and 70908.

Prime Factorization of 70893

Prime Factorization of 70908

Now multiplying the highest exponent prime factors to calculate the LCM of 70893 and 70908.

LCM(70893,70908) = 3² × 7877¹ × 2² × 19¹ × 311¹
LCM(70893,70908) = 1675626948