What is the Least Common Multiple of 47976 and 47983?

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 47976 and 47983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47976 and 47983, than apply into the LCM equation.

GCF(47976,47983) = 1
LCM(47976,47983) = ( 47976 × 47983) / 1
LCM(47976,47983) = 2302032408 / 1
LCM(47976,47983) = 2302032408

Least Common Multiple (LCM) of 47976 and 47983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47976 and 47983. First we will calculate the prime factors of 47976 and 47983.

Prime Factorization of 47976

Prime Factorization of 47983

Now multiplying the highest exponent prime factors to calculate the LCM of 47976 and 47983.

LCM(47976,47983) = 2³ × 3¹ × 1999¹ × 13¹ × 3691¹
LCM(47976,47983) = 2302032408