What is the Least Common Multiple of 31580 and 31598?

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 31580 and 31598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31580 and 31598, than apply into the LCM equation.

GCF(31580,31598) = 2
LCM(31580,31598) = ( 31580 × 31598) / 2
LCM(31580,31598) = 997864840 / 2
LCM(31580,31598) = 498932420

Least Common Multiple (LCM) of 31580 and 31598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31580 and 31598. First we will calculate the prime factors of 31580 and 31598.

Prime Factorization of 31580

Prime Factorization of 31598

Now multiplying the highest exponent prime factors to calculate the LCM of 31580 and 31598.

LCM(31580,31598) = 2² × 5¹ × 1579¹ × 7¹ × 37¹ × 61¹
LCM(31580,31598) = 498932420