What is the Least Common Multiple of 48460 and 48476?

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 48460 and 48476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48460 and 48476, than apply into the LCM equation.

GCF(48460,48476) = 4
LCM(48460,48476) = ( 48460 × 48476) / 4
LCM(48460,48476) = 2349146960 / 4
LCM(48460,48476) = 587286740

Least Common Multiple (LCM) of 48460 and 48476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48460 and 48476. First we will calculate the prime factors of 48460 and 48476.

Prime Factorization of 48460

Prime Factorization of 48476

Now multiplying the highest exponent prime factors to calculate the LCM of 48460 and 48476.

LCM(48460,48476) = 2² × 5¹ × 2423¹ × 12119¹
LCM(48460,48476) = 587286740