What is the Least Common Multiple of 51849 and 51855?

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 51849 and 51855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51849 and 51855, than apply into the LCM equation.

GCF(51849,51855) = 3
LCM(51849,51855) = ( 51849 × 51855) / 3
LCM(51849,51855) = 2688629895 / 3
LCM(51849,51855) = 896209965

Least Common Multiple (LCM) of 51849 and 51855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51849 and 51855. First we will calculate the prime factors of 51849 and 51855.

Prime Factorization of 51849

Prime Factorization of 51855

Now multiplying the highest exponent prime factors to calculate the LCM of 51849 and 51855.

LCM(51849,51855) = 3² × 7¹ × 823¹ × 5¹ × 3457¹
LCM(51849,51855) = 896209965