What is the Least Common Multiple of 75332 and 75349?

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 75332 and 75349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75332 and 75349, than apply into the LCM equation.

GCF(75332,75349) = 1
LCM(75332,75349) = ( 75332 × 75349) / 1
LCM(75332,75349) = 5676190868 / 1
LCM(75332,75349) = 5676190868

Least Common Multiple (LCM) of 75332 and 75349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75332 and 75349. First we will calculate the prime factors of 75332 and 75349.

Prime Factorization of 75332

Prime Factorization of 75349

Now multiplying the highest exponent prime factors to calculate the LCM of 75332 and 75349.

LCM(75332,75349) = 2² × 37¹ × 509¹ × 151¹ × 499¹
LCM(75332,75349) = 5676190868