What is the Least Common Multiple of 45563 and 45567?

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 45563 and 45567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45563 and 45567, than apply into the LCM equation.

GCF(45563,45567) = 1
LCM(45563,45567) = ( 45563 × 45567) / 1
LCM(45563,45567) = 2076169221 / 1
LCM(45563,45567) = 2076169221

Least Common Multiple (LCM) of 45563 and 45567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45563 and 45567. First we will calculate the prime factors of 45563 and 45567.

Prime Factorization of 45563

Prime Factorization of 45567

Now multiplying the highest exponent prime factors to calculate the LCM of 45563 and 45567.

LCM(45563,45567) = 7¹ × 23¹ × 283¹ × 3² × 61¹ × 83¹
LCM(45563,45567) = 2076169221