What is the Least Common Multiple of 39116 and 39131?

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 39116 and 39131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39116 and 39131, than apply into the LCM equation.

GCF(39116,39131) = 1
LCM(39116,39131) = ( 39116 × 39131) / 1
LCM(39116,39131) = 1530648196 / 1
LCM(39116,39131) = 1530648196

Least Common Multiple (LCM) of 39116 and 39131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39116 and 39131. First we will calculate the prime factors of 39116 and 39131.

Prime Factorization of 39116

Prime Factorization of 39131

Now multiplying the highest exponent prime factors to calculate the LCM of 39116 and 39131.

LCM(39116,39131) = 2² × 7¹ × 11¹ × 127¹ × 109¹ × 359¹
LCM(39116,39131) = 1530648196