What is the Least Common Multiple of 4230 and 4240?

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 4230 and 4240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4230 and 4240, than apply into the LCM equation.

GCF(4230,4240) = 10
LCM(4230,4240) = ( 4230 × 4240) / 10
LCM(4230,4240) = 17935200 / 10
LCM(4230,4240) = 1793520

Least Common Multiple (LCM) of 4230 and 4240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4230 and 4240. First we will calculate the prime factors of 4230 and 4240.

Prime Factorization of 4230

Prime Factorization of 4240

Now multiplying the highest exponent prime factors to calculate the LCM of 4230 and 4240.

LCM(4230,4240) = 2⁴ × 3² × 5¹ × 47¹ × 53¹
LCM(4230,4240) = 1793520