What is the Least Common Multiple of 57840 and 57849?

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 57840 and 57849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57840 and 57849, than apply into the LCM equation.

GCF(57840,57849) = 3
LCM(57840,57849) = ( 57840 × 57849) / 3
LCM(57840,57849) = 3345986160 / 3
LCM(57840,57849) = 1115328720

Least Common Multiple (LCM) of 57840 and 57849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57840 and 57849. First we will calculate the prime factors of 57840 and 57849.

Prime Factorization of 57840

Prime Factorization of 57849

Now multiplying the highest exponent prime factors to calculate the LCM of 57840 and 57849.

LCM(57840,57849) = 2⁴ × 3¹ × 5¹ × 241¹ × 11¹ × 1753¹
LCM(57840,57849) = 1115328720