What is the Least Common Multiple of 45846 and 45861?

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 45846 and 45861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45846 and 45861, than apply into the LCM equation.

GCF(45846,45861) = 3
LCM(45846,45861) = ( 45846 × 45861) / 3
LCM(45846,45861) = 2102543406 / 3
LCM(45846,45861) = 700847802

Least Common Multiple (LCM) of 45846 and 45861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45846 and 45861. First we will calculate the prime factors of 45846 and 45861.

Prime Factorization of 45846

Prime Factorization of 45861

Now multiplying the highest exponent prime factors to calculate the LCM of 45846 and 45861.

LCM(45846,45861) = 2¹ × 3⁴ × 283¹ × 15287¹
LCM(45846,45861) = 700847802