What is the Least Common Multiple of 47940 and 47952?

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 47940 and 47952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47940 and 47952, than apply into the LCM equation.

GCF(47940,47952) = 12
LCM(47940,47952) = ( 47940 × 47952) / 12
LCM(47940,47952) = 2298818880 / 12
LCM(47940,47952) = 191568240

Least Common Multiple (LCM) of 47940 and 47952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47940 and 47952. First we will calculate the prime factors of 47940 and 47952.

Prime Factorization of 47940

Prime Factorization of 47952

Now multiplying the highest exponent prime factors to calculate the LCM of 47940 and 47952.

LCM(47940,47952) = 2⁴ × 3⁴ × 5¹ × 17¹ × 47¹ × 37¹
LCM(47940,47952) = 191568240