What is the Least Common Multiple of 70864 and 70884?

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 70864 and 70884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70864 and 70884, than apply into the LCM equation.

GCF(70864,70884) = 4
LCM(70864,70884) = ( 70864 × 70884) / 4
LCM(70864,70884) = 5023123776 / 4
LCM(70864,70884) = 1255780944

Least Common Multiple (LCM) of 70864 and 70884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70864 and 70884. First we will calculate the prime factors of 70864 and 70884.

Prime Factorization of 70864

Prime Factorization of 70884

Now multiplying the highest exponent prime factors to calculate the LCM of 70864 and 70884.

LCM(70864,70884) = 2⁴ × 43¹ × 103¹ × 3² × 11¹ × 179¹
LCM(70864,70884) = 1255780944