What is the Least Common Multiple of 48456 and 48460?

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 48456 and 48460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48456 and 48460, than apply into the LCM equation.

GCF(48456,48460) = 4
LCM(48456,48460) = ( 48456 × 48460) / 4
LCM(48456,48460) = 2348177760 / 4
LCM(48456,48460) = 587044440

Least Common Multiple (LCM) of 48456 and 48460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48456 and 48460. First we will calculate the prime factors of 48456 and 48460.

Prime Factorization of 48456

Prime Factorization of 48460

Now multiplying the highest exponent prime factors to calculate the LCM of 48456 and 48460.

LCM(48456,48460) = 2³ × 3² × 673¹ × 5¹ × 2423¹
LCM(48456,48460) = 587044440