What is the Least Common Multiple of 75855 and 75868?

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 75868 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 75868, than apply into the LCM equation.

GCF(75855,75868) = 13
LCM(75855,75868) = ( 75855 × 75868) / 13
LCM(75855,75868) = 5754967140 / 13
LCM(75855,75868) = 442689780

Least Common Multiple (LCM) of 75855 and 75868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75855 and 75868. First we will calculate the prime factors of 75855 and 75868.

Prime Factorization of 75855

Prime Factorization of 75868

Now multiplying the highest exponent prime factors to calculate the LCM of 75855 and 75868.

LCM(75855,75868) = 3¹ × 5¹ × 13¹ × 389¹ × 2² × 1459¹
LCM(75855,75868) = 442689780