What is the Least Common Multiple of 31125 and 31142?

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 31125 and 31142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31125 and 31142, than apply into the LCM equation.

GCF(31125,31142) = 1
LCM(31125,31142) = ( 31125 × 31142) / 1
LCM(31125,31142) = 969294750 / 1
LCM(31125,31142) = 969294750

Least Common Multiple (LCM) of 31125 and 31142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31125 and 31142. First we will calculate the prime factors of 31125 and 31142.

Prime Factorization of 31125

Prime Factorization of 31142

Now multiplying the highest exponent prime factors to calculate the LCM of 31125 and 31142.

LCM(31125,31142) = 3¹ × 5³ × 83¹ × 2¹ × 23¹ × 677¹
LCM(31125,31142) = 969294750