What is the Least Common Multiple of 75449 and 75468?

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 75449 and 75468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75449 and 75468, than apply into the LCM equation.

GCF(75449,75468) = 19
LCM(75449,75468) = ( 75449 × 75468) / 19
LCM(75449,75468) = 5693985132 / 19
LCM(75449,75468) = 299683428

Least Common Multiple (LCM) of 75449 and 75468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75449 and 75468. First we will calculate the prime factors of 75449 and 75468.

Prime Factorization of 75449

Prime Factorization of 75468

Now multiplying the highest exponent prime factors to calculate the LCM of 75449 and 75468.

LCM(75449,75468) = 11¹ × 19³ × 2² × 3¹ × 331¹
LCM(75449,75468) = 299683428