What is the Least Common Multiple of 84838 and 84852?

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 84838 and 84852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84838 and 84852, than apply into the LCM equation.

GCF(84838,84852) = 2
LCM(84838,84852) = ( 84838 × 84852) / 2
LCM(84838,84852) = 7198673976 / 2
LCM(84838,84852) = 3599336988

Least Common Multiple (LCM) of 84838 and 84852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84838 and 84852. First we will calculate the prime factors of 84838 and 84852.

Prime Factorization of 84838

Prime Factorization of 84852

Now multiplying the highest exponent prime factors to calculate the LCM of 84838 and 84852.

LCM(84838,84852) = 2² × 13² × 251¹ × 3² × 2357¹
LCM(84838,84852) = 3599336988