What is the Least Common Multiple of 47440 and 47446?

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 47440 and 47446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47440 and 47446, than apply into the LCM equation.

GCF(47440,47446) = 2
LCM(47440,47446) = ( 47440 × 47446) / 2
LCM(47440,47446) = 2250838240 / 2
LCM(47440,47446) = 1125419120

Least Common Multiple (LCM) of 47440 and 47446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47440 and 47446. First we will calculate the prime factors of 47440 and 47446.

Prime Factorization of 47440

Prime Factorization of 47446

Now multiplying the highest exponent prime factors to calculate the LCM of 47440 and 47446.

LCM(47440,47446) = 2⁴ × 5¹ × 593¹ × 7¹ × 3389¹
LCM(47440,47446) = 1125419120