What is the Least Common Multiple of 45793 and 45811?

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 45793 and 45811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45793 and 45811, than apply into the LCM equation.

GCF(45793,45811) = 1
LCM(45793,45811) = ( 45793 × 45811) / 1
LCM(45793,45811) = 2097823123 / 1
LCM(45793,45811) = 2097823123

Least Common Multiple (LCM) of 45793 and 45811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45793 and 45811. First we will calculate the prime factors of 45793 and 45811.

Prime Factorization of 45793

Prime Factorization of 45811

Now multiplying the highest exponent prime factors to calculate the LCM of 45793 and 45811.

LCM(45793,45811) = 11¹ × 23¹ × 181¹ × 61¹ × 751¹
LCM(45793,45811) = 2097823123