What is the Least Common Multiple of 60840 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 60840 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 60840 and 60855, than apply into the LCM equation.

GCF(60840,60855) = 15
LCM(60840,60855) = ( 60840 × 60855) / 15
LCM(60840,60855) = 3702418200 / 15
LCM(60840,60855) = 246827880

Least Common Multiple (LCM) of 60840 and 60855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60840 and 60855. First we will calculate the prime factors of 60840 and 60855.

Prime Factorization of 60840

Prime Factorization of 60855

Now multiplying the highest exponent prime factors to calculate the LCM of 60840 and 60855.

LCM(60840,60855) = 2³ × 3² × 5¹ × 13² × 4057¹
LCM(60840,60855) = 246827880