What is the Least Common Multiple of 75800 and 75820?

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 75800 and 75820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75800 and 75820, than apply into the LCM equation.

GCF(75800,75820) = 20
LCM(75800,75820) = ( 75800 × 75820) / 20
LCM(75800,75820) = 5747156000 / 20
LCM(75800,75820) = 287357800

Least Common Multiple (LCM) of 75800 and 75820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75800 and 75820. First we will calculate the prime factors of 75800 and 75820.

Prime Factorization of 75800

Prime Factorization of 75820

Now multiplying the highest exponent prime factors to calculate the LCM of 75800 and 75820.

LCM(75800,75820) = 2³ × 5² × 379¹ × 17¹ × 223¹
LCM(75800,75820) = 287357800