What is the Least Common Multiple of 49440 and 49460?

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 49440 and 49460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49440 and 49460, than apply into the LCM equation.

GCF(49440,49460) = 20
LCM(49440,49460) = ( 49440 × 49460) / 20
LCM(49440,49460) = 2445302400 / 20
LCM(49440,49460) = 122265120

Least Common Multiple (LCM) of 49440 and 49460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49440 and 49460. First we will calculate the prime factors of 49440 and 49460.

Prime Factorization of 49440

Prime Factorization of 49460

Now multiplying the highest exponent prime factors to calculate the LCM of 49440 and 49460.

LCM(49440,49460) = 2⁵ × 3¹ × 5¹ × 103¹ × 2473¹
LCM(49440,49460) = 122265120