What is the Least Common Multiple of 31510 and 31522?

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 31510 and 31522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31510 and 31522, than apply into the LCM equation.

GCF(31510,31522) = 2
LCM(31510,31522) = ( 31510 × 31522) / 2
LCM(31510,31522) = 993258220 / 2
LCM(31510,31522) = 496629110

Least Common Multiple (LCM) of 31510 and 31522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31510 and 31522. First we will calculate the prime factors of 31510 and 31522.

Prime Factorization of 31510

Prime Factorization of 31522

Now multiplying the highest exponent prime factors to calculate the LCM of 31510 and 31522.

LCM(31510,31522) = 2¹ × 5¹ × 23¹ × 137¹ × 15761¹
LCM(31510,31522) = 496629110