What is the Least Common Multiple of 75099 and 75111?

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 75099 and 75111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75099 and 75111, than apply into the LCM equation.

GCF(75099,75111) = 3
LCM(75099,75111) = ( 75099 × 75111) / 3
LCM(75099,75111) = 5640760989 / 3
LCM(75099,75111) = 1880253663

Least Common Multiple (LCM) of 75099 and 75111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75099 and 75111. First we will calculate the prime factors of 75099 and 75111.

Prime Factorization of 75099

Prime Factorization of 75111

Now multiplying the highest exponent prime factors to calculate the LCM of 75099 and 75111.

LCM(75099,75111) = 3¹ × 25033¹ × 25037¹
LCM(75099,75111) = 1880253663