What is the Least Common Multiple of 4210 and 4230?

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 4210 and 4230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4210 and 4230, than apply into the LCM equation.

GCF(4210,4230) = 10
LCM(4210,4230) = ( 4210 × 4230) / 10
LCM(4210,4230) = 17808300 / 10
LCM(4210,4230) = 1780830

Least Common Multiple (LCM) of 4210 and 4230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4210 and 4230. First we will calculate the prime factors of 4210 and 4230.

Prime Factorization of 4210

Prime Factorization of 4230

Now multiplying the highest exponent prime factors to calculate the LCM of 4210 and 4230.

LCM(4210,4230) = 2¹ × 5¹ × 421¹ × 3² × 47¹
LCM(4210,4230) = 1780830