What is the Least Common Multiple of 31122 and 31136?

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 31122 and 31136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31122 and 31136, than apply into the LCM equation.

GCF(31122,31136) = 14
LCM(31122,31136) = ( 31122 × 31136) / 14
LCM(31122,31136) = 969014592 / 14
LCM(31122,31136) = 69215328

Least Common Multiple (LCM) of 31122 and 31136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31122 and 31136. First we will calculate the prime factors of 31122 and 31136.

Prime Factorization of 31122

Prime Factorization of 31136

Now multiplying the highest exponent prime factors to calculate the LCM of 31122 and 31136.

LCM(31122,31136) = 2⁵ × 3² × 7¹ × 13¹ × 19¹ × 139¹
LCM(31122,31136) = 69215328