What is the Least Common Multiple of 45834 and 45843?

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 45834 and 45843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45834 and 45843, than apply into the LCM equation.

GCF(45834,45843) = 3
LCM(45834,45843) = ( 45834 × 45843) / 3
LCM(45834,45843) = 2101168062 / 3
LCM(45834,45843) = 700389354

Least Common Multiple (LCM) of 45834 and 45843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45834 and 45843. First we will calculate the prime factors of 45834 and 45843.

Prime Factorization of 45834

Prime Factorization of 45843

Now multiplying the highest exponent prime factors to calculate the LCM of 45834 and 45843.

LCM(45834,45843) = 2¹ × 3¹ × 7639¹ × 7¹ × 37¹ × 59¹
LCM(45834,45843) = 700389354