What is the Least Common Multiple of 70884 and 70900?

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 70900 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 70900, than apply into the LCM equation.

GCF(70884,70900) = 4
LCM(70884,70900) = ( 70884 × 70900) / 4
LCM(70884,70900) = 5025675600 / 4
LCM(70884,70900) = 1256418900

Least Common Multiple (LCM) of 70884 and 70900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70884 and 70900. First we will calculate the prime factors of 70884 and 70900.

Prime Factorization of 70884

Prime Factorization of 70900

Now multiplying the highest exponent prime factors to calculate the LCM of 70884 and 70900.

LCM(70884,70900) = 2² × 3² × 11¹ × 179¹ × 5² × 709¹
LCM(70884,70900) = 1256418900