What is the Least Common Multiple of 45794 and 45814?

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 45794 and 45814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45794 and 45814, than apply into the LCM equation.

GCF(45794,45814) = 2
LCM(45794,45814) = ( 45794 × 45814) / 2
LCM(45794,45814) = 2098006316 / 2
LCM(45794,45814) = 1049003158

Least Common Multiple (LCM) of 45794 and 45814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45794 and 45814. First we will calculate the prime factors of 45794 and 45814.

Prime Factorization of 45794

Prime Factorization of 45814

Now multiplying the highest exponent prime factors to calculate the LCM of 45794 and 45814.

LCM(45794,45814) = 2¹ × 7¹ × 3271¹ × 22907¹
LCM(45794,45814) = 1049003158