What is the Least Common Multiple of 75478 and 75494?

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 75478 and 75494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75478 and 75494, than apply into the LCM equation.

GCF(75478,75494) = 2
LCM(75478,75494) = ( 75478 × 75494) / 2
LCM(75478,75494) = 5698136132 / 2
LCM(75478,75494) = 2849068066

Least Common Multiple (LCM) of 75478 and 75494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75478 and 75494. First we will calculate the prime factors of 75478 and 75494.

Prime Factorization of 75478

Prime Factorization of 75494

Now multiplying the highest exponent prime factors to calculate the LCM of 75478 and 75494.

LCM(75478,75494) = 2¹ × 13¹ × 2903¹ × 37747¹
LCM(75478,75494) = 2849068066