What is the Least Common Multiple of 75780 and 75800?

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 75780 and 75800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75780 and 75800, than apply into the LCM equation.

GCF(75780,75800) = 20
LCM(75780,75800) = ( 75780 × 75800) / 20
LCM(75780,75800) = 5744124000 / 20
LCM(75780,75800) = 287206200

Least Common Multiple (LCM) of 75780 and 75800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75780 and 75800. First we will calculate the prime factors of 75780 and 75800.

Prime Factorization of 75780

Prime Factorization of 75800

Now multiplying the highest exponent prime factors to calculate the LCM of 75780 and 75800.

LCM(75780,75800) = 2³ × 3² × 5² × 421¹ × 379¹
LCM(75780,75800) = 287206200