What is the Least Common Multiple of 70864 and 70878?

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 70878 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 70878, than apply into the LCM equation.

GCF(70864,70878) = 2
LCM(70864,70878) = ( 70864 × 70878) / 2
LCM(70864,70878) = 5022698592 / 2
LCM(70864,70878) = 2511349296

Least Common Multiple (LCM) of 70864 and 70878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70864 and 70878. First we will calculate the prime factors of 70864 and 70878.

Prime Factorization of 70864

Prime Factorization of 70878

Now multiplying the highest exponent prime factors to calculate the LCM of 70864 and 70878.

LCM(70864,70878) = 2⁴ × 43¹ × 103¹ × 3¹ × 11813¹
LCM(70864,70878) = 2511349296