What is the Least Common Multiple of 45849 and 45855?

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 45849 and 45855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45849 and 45855, than apply into the LCM equation.

GCF(45849,45855) = 3
LCM(45849,45855) = ( 45849 × 45855) / 3
LCM(45849,45855) = 2102405895 / 3
LCM(45849,45855) = 700801965

Least Common Multiple (LCM) of 45849 and 45855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45849 and 45855. First we will calculate the prime factors of 45849 and 45855.

Prime Factorization of 45849

Prime Factorization of 45855

Now multiplying the highest exponent prime factors to calculate the LCM of 45849 and 45855.

LCM(45849,45855) = 3² × 17¹ × 29¹ × 31¹ × 5¹ × 1019¹
LCM(45849,45855) = 700801965