What is the Least Common Multiple of 23563 and 23580?

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 23563 and 23580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23563 and 23580, than apply into the LCM equation.

GCF(23563,23580) = 1
LCM(23563,23580) = ( 23563 × 23580) / 1
LCM(23563,23580) = 555615540 / 1
LCM(23563,23580) = 555615540

Least Common Multiple (LCM) of 23563 and 23580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23563 and 23580. First we will calculate the prime factors of 23563 and 23580.

Prime Factorization of 23563

Prime Factorization of 23580

Now multiplying the highest exponent prime factors to calculate the LCM of 23563 and 23580.

LCM(23563,23580) = 23563¹ × 2² × 3² × 5¹ × 131¹
LCM(23563,23580) = 555615540