What is the Least Common Multiple of 31142 and 31147?

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 31142 and 31147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31142 and 31147, than apply into the LCM equation.

GCF(31142,31147) = 1
LCM(31142,31147) = ( 31142 × 31147) / 1
LCM(31142,31147) = 969979874 / 1
LCM(31142,31147) = 969979874

Least Common Multiple (LCM) of 31142 and 31147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31142 and 31147. First we will calculate the prime factors of 31142 and 31147.

Prime Factorization of 31142

Prime Factorization of 31147

Now multiplying the highest exponent prime factors to calculate the LCM of 31142 and 31147.

LCM(31142,31147) = 2¹ × 23¹ × 677¹ × 31147¹
LCM(31142,31147) = 969979874