What is the Least Common Multiple of 75850 and 75855?

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 75850 and 75855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75850 and 75855, than apply into the LCM equation.

GCF(75850,75855) = 5
LCM(75850,75855) = ( 75850 × 75855) / 5
LCM(75850,75855) = 5753601750 / 5
LCM(75850,75855) = 1150720350

Least Common Multiple (LCM) of 75850 and 75855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75850 and 75855. First we will calculate the prime factors of 75850 and 75855.

Prime Factorization of 75850

Prime Factorization of 75855

Now multiplying the highest exponent prime factors to calculate the LCM of 75850 and 75855.

LCM(75850,75855) = 2¹ × 5² × 37¹ × 41¹ × 3¹ × 13¹ × 389¹
LCM(75850,75855) = 1150720350