What is the Least Common Multiple of 94240 and 94259?

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 94240 and 94259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94240 and 94259, than apply into the LCM equation.

GCF(94240,94259) = 19
LCM(94240,94259) = ( 94240 × 94259) / 19
LCM(94240,94259) = 8882968160 / 19
LCM(94240,94259) = 467524640

Least Common Multiple (LCM) of 94240 and 94259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94240 and 94259. First we will calculate the prime factors of 94240 and 94259.

Prime Factorization of 94240

Prime Factorization of 94259

Now multiplying the highest exponent prime factors to calculate the LCM of 94240 and 94259.

LCM(94240,94259) = 2⁵ × 5¹ × 19¹ × 31¹ × 11² × 41¹
LCM(94240,94259) = 467524640