What is the Least Common Multiple of 31143 and 31150?

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 31143 and 31150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31143 and 31150, than apply into the LCM equation.

GCF(31143,31150) = 7
LCM(31143,31150) = ( 31143 × 31150) / 7
LCM(31143,31150) = 970104450 / 7
LCM(31143,31150) = 138586350

Least Common Multiple (LCM) of 31143 and 31150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31143 and 31150. First we will calculate the prime factors of 31143 and 31150.

Prime Factorization of 31143

Prime Factorization of 31150

Now multiplying the highest exponent prime factors to calculate the LCM of 31143 and 31150.

LCM(31143,31150) = 3¹ × 7¹ × 1483¹ × 2¹ × 5² × 89¹
LCM(31143,31150) = 138586350