What is the Least Common Multiple of 31491 and 31506?

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 31491 and 31506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31491 and 31506, than apply into the LCM equation.

GCF(31491,31506) = 3
LCM(31491,31506) = ( 31491 × 31506) / 3
LCM(31491,31506) = 992155446 / 3
LCM(31491,31506) = 330718482

Least Common Multiple (LCM) of 31491 and 31506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31491 and 31506. First we will calculate the prime factors of 31491 and 31506.

Prime Factorization of 31491

Prime Factorization of 31506

Now multiplying the highest exponent prime factors to calculate the LCM of 31491 and 31506.

LCM(31491,31506) = 3² × 3499¹ × 2¹ × 59¹ × 89¹
LCM(31491,31506) = 330718482