What is the Least Common Multiple of 38240 and 38259?

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 38240 and 38259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38240 and 38259, than apply into the LCM equation.

GCF(38240,38259) = 1
LCM(38240,38259) = ( 38240 × 38259) / 1
LCM(38240,38259) = 1463024160 / 1
LCM(38240,38259) = 1463024160

Least Common Multiple (LCM) of 38240 and 38259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38240 and 38259. First we will calculate the prime factors of 38240 and 38259.

Prime Factorization of 38240

Prime Factorization of 38259

Now multiplying the highest exponent prime factors to calculate the LCM of 38240 and 38259.

LCM(38240,38259) = 2⁵ × 5¹ × 239¹ × 3³ × 13¹ × 109¹
LCM(38240,38259) = 1463024160