What is the Least Common Multiple of 70832 and 70846?

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 70832 and 70846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70832 and 70846, than apply into the LCM equation.

GCF(70832,70846) = 2
LCM(70832,70846) = ( 70832 × 70846) / 2
LCM(70832,70846) = 5018163872 / 2
LCM(70832,70846) = 2509081936

Least Common Multiple (LCM) of 70832 and 70846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70832 and 70846. First we will calculate the prime factors of 70832 and 70846.

Prime Factorization of 70832

Prime Factorization of 70846

Now multiplying the highest exponent prime factors to calculate the LCM of 70832 and 70846.

LCM(70832,70846) = 2⁴ × 19¹ × 233¹ × 35423¹
LCM(70832,70846) = 2509081936