What is the Least Common Multiple of 51849 and 51861?

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 51861 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 51861, than apply into the LCM equation.

GCF(51849,51861) = 3
LCM(51849,51861) = ( 51849 × 51861) / 3
LCM(51849,51861) = 2688940989 / 3
LCM(51849,51861) = 896313663

Least Common Multiple (LCM) of 51849 and 51861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51849 and 51861. First we will calculate the prime factors of 51849 and 51861.

Prime Factorization of 51849

Prime Factorization of 51861

Now multiplying the highest exponent prime factors to calculate the LCM of 51849 and 51861.

LCM(51849,51861) = 3² × 7¹ × 823¹ × 59¹ × 293¹
LCM(51849,51861) = 896313663