What is the Least Common Multiple of 75855 and 75870?

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 75855 and 75870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75855 and 75870, than apply into the LCM equation.

GCF(75855,75870) = 15
LCM(75855,75870) = ( 75855 × 75870) / 15
LCM(75855,75870) = 5755118850 / 15
LCM(75855,75870) = 383674590

Least Common Multiple (LCM) of 75855 and 75870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75855 and 75870. First we will calculate the prime factors of 75855 and 75870.

Prime Factorization of 75855

Prime Factorization of 75870

Now multiplying the highest exponent prime factors to calculate the LCM of 75855 and 75870.

LCM(75855,75870) = 3³ × 5¹ × 13¹ × 389¹ × 2¹ × 281¹
LCM(75855,75870) = 383674590