What is the Least Common Multiple of 70884 and 70896?

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 70896 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 70896, than apply into the LCM equation.

GCF(70884,70896) = 12
LCM(70884,70896) = ( 70884 × 70896) / 12
LCM(70884,70896) = 5025392064 / 12
LCM(70884,70896) = 418782672

Least Common Multiple (LCM) of 70884 and 70896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70884 and 70896. First we will calculate the prime factors of 70884 and 70896.

Prime Factorization of 70884

Prime Factorization of 70896

Now multiplying the highest exponent prime factors to calculate the LCM of 70884 and 70896.

LCM(70884,70896) = 2⁴ × 3² × 11¹ × 179¹ × 7¹ × 211¹
LCM(70884,70896) = 418782672