What is the Least Common Multiple of 18971 and 18983?

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 18971 and 18983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18971 and 18983, than apply into the LCM equation.

GCF(18971,18983) = 1
LCM(18971,18983) = ( 18971 × 18983) / 1
LCM(18971,18983) = 360126493 / 1
LCM(18971,18983) = 360126493

Least Common Multiple (LCM) of 18971 and 18983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18971 and 18983. First we will calculate the prime factors of 18971 and 18983.

Prime Factorization of 18971

Prime Factorization of 18983

Now multiplying the highest exponent prime factors to calculate the LCM of 18971 and 18983.

LCM(18971,18983) = 61¹ × 311¹ × 41¹ × 463¹
LCM(18971,18983) = 360126493