What is the Least Common Multiple of 31100 and 31114?

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 31100 and 31114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31100 and 31114, than apply into the LCM equation.

GCF(31100,31114) = 2
LCM(31100,31114) = ( 31100 × 31114) / 2
LCM(31100,31114) = 967645400 / 2
LCM(31100,31114) = 483822700

Least Common Multiple (LCM) of 31100 and 31114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31100 and 31114. First we will calculate the prime factors of 31100 and 31114.

Prime Factorization of 31100

Prime Factorization of 31114

Now multiplying the highest exponent prime factors to calculate the LCM of 31100 and 31114.

LCM(31100,31114) = 2² × 5² × 311¹ × 47¹ × 331¹
LCM(31100,31114) = 483822700