What is the Least Common Multiple of 75430 and 75449?

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 75430 and 75449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75430 and 75449, than apply into the LCM equation.

GCF(75430,75449) = 19
LCM(75430,75449) = ( 75430 × 75449) / 19
LCM(75430,75449) = 5691118070 / 19
LCM(75430,75449) = 299532530

Least Common Multiple (LCM) of 75430 and 75449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75430 and 75449. First we will calculate the prime factors of 75430 and 75449.

Prime Factorization of 75430

Prime Factorization of 75449

Now multiplying the highest exponent prime factors to calculate the LCM of 75430 and 75449.

LCM(75430,75449) = 2¹ × 5¹ × 19³ × 397¹ × 11¹
LCM(75430,75449) = 299532530