What is the Least Common Multiple of 39098 and 39118?

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 39098 and 39118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39098 and 39118, than apply into the LCM equation.

GCF(39098,39118) = 2
LCM(39098,39118) = ( 39098 × 39118) / 2
LCM(39098,39118) = 1529435564 / 2
LCM(39098,39118) = 764717782

Least Common Multiple (LCM) of 39098 and 39118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39098 and 39118. First we will calculate the prime factors of 39098 and 39118.

Prime Factorization of 39098

Prime Factorization of 39118

Now multiplying the highest exponent prime factors to calculate the LCM of 39098 and 39118.

LCM(39098,39118) = 2¹ × 113¹ × 173¹ × 19559¹
LCM(39098,39118) = 764717782