What is the Least Common Multiple of 31074 and 31079?

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 31074 and 31079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31074 and 31079, than apply into the LCM equation.

GCF(31074,31079) = 1
LCM(31074,31079) = ( 31074 × 31079) / 1
LCM(31074,31079) = 965748846 / 1
LCM(31074,31079) = 965748846

Least Common Multiple (LCM) of 31074 and 31079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31074 and 31079. First we will calculate the prime factors of 31074 and 31079.

Prime Factorization of 31074

Prime Factorization of 31079

Now multiplying the highest exponent prime factors to calculate the LCM of 31074 and 31079.

LCM(31074,31079) = 2¹ × 3¹ × 5179¹ × 31079¹
LCM(31074,31079) = 965748846