What is the Least Common Multiple of 31499 and 31509?

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 31499 and 31509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31499 and 31509, than apply into the LCM equation.

GCF(31499,31509) = 1
LCM(31499,31509) = ( 31499 × 31509) / 1
LCM(31499,31509) = 992501991 / 1
LCM(31499,31509) = 992501991

Least Common Multiple (LCM) of 31499 and 31509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31499 and 31509. First we will calculate the prime factors of 31499 and 31509.

Prime Factorization of 31499

Prime Factorization of 31509

Now multiplying the highest exponent prime factors to calculate the LCM of 31499 and 31509.

LCM(31499,31509) = 13¹ × 2423¹ × 3⁴ × 389¹
LCM(31499,31509) = 992501991