What is the Least Common Multiple of 70846 and 70864?

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 70846 and 70864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70846 and 70864, than apply into the LCM equation.

GCF(70846,70864) = 2
LCM(70846,70864) = ( 70846 × 70864) / 2
LCM(70846,70864) = 5020430944 / 2
LCM(70846,70864) = 2510215472

Least Common Multiple (LCM) of 70846 and 70864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70846 and 70864. First we will calculate the prime factors of 70846 and 70864.

Prime Factorization of 70846

Prime Factorization of 70864

Now multiplying the highest exponent prime factors to calculate the LCM of 70846 and 70864.

LCM(70846,70864) = 2⁴ × 35423¹ × 43¹ × 103¹
LCM(70846,70864) = 2510215472