What is the Least Common Multiple of 51840 and 51849?

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 51840 and 51849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51840 and 51849, than apply into the LCM equation.

GCF(51840,51849) = 9
LCM(51840,51849) = ( 51840 × 51849) / 9
LCM(51840,51849) = 2687852160 / 9
LCM(51840,51849) = 298650240

Least Common Multiple (LCM) of 51840 and 51849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51840 and 51849. First we will calculate the prime factors of 51840 and 51849.

Prime Factorization of 51840

Prime Factorization of 51849

Now multiplying the highest exponent prime factors to calculate the LCM of 51840 and 51849.

LCM(51840,51849) = 2⁷ × 3⁴ × 5¹ × 7¹ × 823¹
LCM(51840,51849) = 298650240