What is the Least Common Multiple of 55563 and 55569?

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 55563 and 55569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55563 and 55569, than apply into the LCM equation.

GCF(55563,55569) = 3
LCM(55563,55569) = ( 55563 × 55569) / 3
LCM(55563,55569) = 3087580347 / 3
LCM(55563,55569) = 1029193449

Least Common Multiple (LCM) of 55563 and 55569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55563 and 55569. First we will calculate the prime factors of 55563 and 55569.

Prime Factorization of 55563

Prime Factorization of 55569

Now multiplying the highest exponent prime factors to calculate the LCM of 55563 and 55569.

LCM(55563,55569) = 3¹ × 18521¹ × 18523¹
LCM(55563,55569) = 1029193449