What is the Least Common Multiple of 4240 and 4259?

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 4240 and 4259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4240 and 4259, than apply into the LCM equation.

GCF(4240,4259) = 1
LCM(4240,4259) = ( 4240 × 4259) / 1
LCM(4240,4259) = 18058160 / 1
LCM(4240,4259) = 18058160

Least Common Multiple (LCM) of 4240 and 4259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4240 and 4259. First we will calculate the prime factors of 4240 and 4259.

Prime Factorization of 4240

Prime Factorization of 4259

Now multiplying the highest exponent prime factors to calculate the LCM of 4240 and 4259.

LCM(4240,4259) = 2⁴ × 5¹ × 53¹ × 4259¹
LCM(4240,4259) = 18058160