What is the Least Common Multiple of 75403 and 75418?

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 75403 and 75418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75403 and 75418, than apply into the LCM equation.

GCF(75403,75418) = 1
LCM(75403,75418) = ( 75403 × 75418) / 1
LCM(75403,75418) = 5686743454 / 1
LCM(75403,75418) = 5686743454

Least Common Multiple (LCM) of 75403 and 75418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75403 and 75418. First we will calculate the prime factors of 75403 and 75418.

Prime Factorization of 75403

Prime Factorization of 75418

Now multiplying the highest exponent prime factors to calculate the LCM of 75403 and 75418.

LCM(75403,75418) = 75403¹ × 2¹ × 7¹ × 5387¹
LCM(75403,75418) = 5686743454