What is the Least Common Multiple of 3117 and 3136?

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 3117 and 3136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3117 and 3136, than apply into the LCM equation.

GCF(3117,3136) = 1
LCM(3117,3136) = ( 3117 × 3136) / 1
LCM(3117,3136) = 9774912 / 1
LCM(3117,3136) = 9774912

Least Common Multiple (LCM) of 3117 and 3136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3117 and 3136. First we will calculate the prime factors of 3117 and 3136.

Prime Factorization of 3117

Prime Factorization of 3136

Now multiplying the highest exponent prime factors to calculate the LCM of 3117 and 3136.

LCM(3117,3136) = 3¹ × 1039¹ × 2⁶ × 7²
LCM(3117,3136) = 9774912