What is the Least Common Multiple of 21553 and 21564?

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 21553 and 21564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21553 and 21564, than apply into the LCM equation.

GCF(21553,21564) = 1
LCM(21553,21564) = ( 21553 × 21564) / 1
LCM(21553,21564) = 464768892 / 1
LCM(21553,21564) = 464768892

Least Common Multiple (LCM) of 21553 and 21564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21553 and 21564. First we will calculate the prime factors of 21553 and 21564.

Prime Factorization of 21553

Prime Factorization of 21564

Now multiplying the highest exponent prime factors to calculate the LCM of 21553 and 21564.

LCM(21553,21564) = 7¹ × 3079¹ × 2² × 3² × 599¹
LCM(21553,21564) = 464768892