What is the Least Common Multiple of 70884 and 70893?

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 70884 and 70893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70884 and 70893, than apply into the LCM equation.

GCF(70884,70893) = 9
LCM(70884,70893) = ( 70884 × 70893) / 9
LCM(70884,70893) = 5025179412 / 9
LCM(70884,70893) = 558353268

Least Common Multiple (LCM) of 70884 and 70893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70884 and 70893. First we will calculate the prime factors of 70884 and 70893.

Prime Factorization of 70884

Prime Factorization of 70893

Now multiplying the highest exponent prime factors to calculate the LCM of 70884 and 70893.

LCM(70884,70893) = 2² × 3² × 11¹ × 179¹ × 7877¹
LCM(70884,70893) = 558353268