What is the Least Common Multiple of 48210 and 48229?

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 48229 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 48229, than apply into the LCM equation.

GCF(48210,48229) = 1
LCM(48210,48229) = ( 48210 × 48229) / 1
LCM(48210,48229) = 2325120090 / 1
LCM(48210,48229) = 2325120090

Least Common Multiple (LCM) of 48210 and 48229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48210 and 48229. First we will calculate the prime factors of 48210 and 48229.

Prime Factorization of 48210

Prime Factorization of 48229

Now multiplying the highest exponent prime factors to calculate the LCM of 48210 and 48229.

LCM(48210,48229) = 2¹ × 3¹ × 5¹ × 1607¹ × 17¹ × 2837¹
LCM(48210,48229) = 2325120090