What is the Least Common Multiple of 48210 and 48227?

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 48210 and 48227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48210 and 48227, than apply into the LCM equation.

GCF(48210,48227) = 1
LCM(48210,48227) = ( 48210 × 48227) / 1
LCM(48210,48227) = 2325023670 / 1
LCM(48210,48227) = 2325023670

Least Common Multiple (LCM) of 48210 and 48227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48210 and 48227. First we will calculate the prime factors of 48210 and 48227.

Prime Factorization of 48210

Prime Factorization of 48227

Now multiplying the highest exponent prime factors to calculate the LCM of 48210 and 48227.

LCM(48210,48227) = 2¹ × 3¹ × 5¹ × 1607¹ × 29¹ × 1663¹
LCM(48210,48227) = 2325023670