What is the Least Common Multiple of 48466 and 48477?

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 48466 and 48477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48466 and 48477, than apply into the LCM equation.

GCF(48466,48477) = 11
LCM(48466,48477) = ( 48466 × 48477) / 11
LCM(48466,48477) = 2349486282 / 11
LCM(48466,48477) = 213589662

Least Common Multiple (LCM) of 48466 and 48477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48466 and 48477. First we will calculate the prime factors of 48466 and 48477.

Prime Factorization of 48466

Prime Factorization of 48477

Now multiplying the highest exponent prime factors to calculate the LCM of 48466 and 48477.

LCM(48466,48477) = 2¹ × 11¹ × 2203¹ × 3¹ × 13¹ × 113¹
LCM(48466,48477) = 213589662