What is the Least Common Multiple of 47971 and 47988?

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 47971 and 47988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47971 and 47988, than apply into the LCM equation.

GCF(47971,47988) = 1
LCM(47971,47988) = ( 47971 × 47988) / 1
LCM(47971,47988) = 2302032348 / 1
LCM(47971,47988) = 2302032348

Least Common Multiple (LCM) of 47971 and 47988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47971 and 47988. First we will calculate the prime factors of 47971 and 47988.

Prime Factorization of 47971

Prime Factorization of 47988

Now multiplying the highest exponent prime factors to calculate the LCM of 47971 and 47988.

LCM(47971,47988) = 7² × 11¹ × 89¹ × 2² × 3² × 31¹ × 43¹
LCM(47971,47988) = 2302032348