What is the Least Common Multiple of 75300 and 75311?

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 75300 and 75311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75300 and 75311, than apply into the LCM equation.

GCF(75300,75311) = 1
LCM(75300,75311) = ( 75300 × 75311) / 1
LCM(75300,75311) = 5670918300 / 1
LCM(75300,75311) = 5670918300

Least Common Multiple (LCM) of 75300 and 75311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75300 and 75311. First we will calculate the prime factors of 75300 and 75311.

Prime Factorization of 75300

Prime Factorization of 75311

Now multiplying the highest exponent prime factors to calculate the LCM of 75300 and 75311.

LCM(75300,75311) = 2² × 3¹ × 5² × 251¹ × 127¹ × 593¹
LCM(75300,75311) = 5670918300