What is the Least Common Multiple of 48855 and 48860?

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 48855 and 48860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48855 and 48860, than apply into the LCM equation.

GCF(48855,48860) = 5
LCM(48855,48860) = ( 48855 × 48860) / 5
LCM(48855,48860) = 2387055300 / 5
LCM(48855,48860) = 477411060

Least Common Multiple (LCM) of 48855 and 48860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48855 and 48860. First we will calculate the prime factors of 48855 and 48860.

Prime Factorization of 48855

Prime Factorization of 48860

Now multiplying the highest exponent prime factors to calculate the LCM of 48855 and 48860.

LCM(48855,48860) = 3¹ × 5¹ × 3257¹ × 2² × 7¹ × 349¹
LCM(48855,48860) = 477411060