What is the Least Common Multiple of 60846 and 60855?

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 60846 and 60855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60846 and 60855, than apply into the LCM equation.

GCF(60846,60855) = 3
LCM(60846,60855) = ( 60846 × 60855) / 3
LCM(60846,60855) = 3702783330 / 3
LCM(60846,60855) = 1234261110

Least Common Multiple (LCM) of 60846 and 60855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60846 and 60855. First we will calculate the prime factors of 60846 and 60855.

Prime Factorization of 60846

Prime Factorization of 60855

Now multiplying the highest exponent prime factors to calculate the LCM of 60846 and 60855.

LCM(60846,60855) = 2¹ × 3¹ × 10141¹ × 5¹ × 4057¹
LCM(60846,60855) = 1234261110