What is the Least Common Multiple of 70838 and 70852?

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 70838 and 70852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70838 and 70852, than apply into the LCM equation.

GCF(70838,70852) = 2
LCM(70838,70852) = ( 70838 × 70852) / 2
LCM(70838,70852) = 5019013976 / 2
LCM(70838,70852) = 2509506988

Least Common Multiple (LCM) of 70838 and 70852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70838 and 70852. First we will calculate the prime factors of 70838 and 70852.

Prime Factorization of 70838

Prime Factorization of 70852

Now multiplying the highest exponent prime factors to calculate the LCM of 70838 and 70852.

LCM(70838,70852) = 2² × 35419¹ × 17713¹
LCM(70838,70852) = 2509506988