What is the Least Common Multiple of 35084 and 35098?

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 35084 and 35098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35084 and 35098, than apply into the LCM equation.

GCF(35084,35098) = 14
LCM(35084,35098) = ( 35084 × 35098) / 14
LCM(35084,35098) = 1231378232 / 14
LCM(35084,35098) = 87955588

Least Common Multiple (LCM) of 35084 and 35098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35084 and 35098. First we will calculate the prime factors of 35084 and 35098.

Prime Factorization of 35084

Prime Factorization of 35098

Now multiplying the highest exponent prime factors to calculate the LCM of 35084 and 35098.

LCM(35084,35098) = 2² × 7² × 179¹ × 23¹ × 109¹
LCM(35084,35098) = 87955588