What is the Least Common Multiple of 31100 and 31117?

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 31117 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 31117, than apply into the LCM equation.

GCF(31100,31117) = 1
LCM(31100,31117) = ( 31100 × 31117) / 1
LCM(31100,31117) = 967738700 / 1
LCM(31100,31117) = 967738700

Least Common Multiple (LCM) of 31100 and 31117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31100 and 31117. First we will calculate the prime factors of 31100 and 31117.

Prime Factorization of 31100

Prime Factorization of 31117

Now multiplying the highest exponent prime factors to calculate the LCM of 31100 and 31117.

LCM(31100,31117) = 2² × 5² × 311¹ × 29² × 37¹
LCM(31100,31117) = 967738700