What is the Least Common Multiple of 45843 and 45849?

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 45843 and 45849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45843 and 45849, than apply into the LCM equation.

GCF(45843,45849) = 3
LCM(45843,45849) = ( 45843 × 45849) / 3
LCM(45843,45849) = 2101855707 / 3
LCM(45843,45849) = 700618569

Least Common Multiple (LCM) of 45843 and 45849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45843 and 45849. First we will calculate the prime factors of 45843 and 45849.

Prime Factorization of 45843

Prime Factorization of 45849

Now multiplying the highest exponent prime factors to calculate the LCM of 45843 and 45849.

LCM(45843,45849) = 3¹ × 7¹ × 37¹ × 59¹ × 17¹ × 29¹ × 31¹
LCM(45843,45849) = 700618569