What is the Least Common Multiple of 20552 and 20564?

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 20552 and 20564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20552 and 20564, than apply into the LCM equation.

GCF(20552,20564) = 4
LCM(20552,20564) = ( 20552 × 20564) / 4
LCM(20552,20564) = 422631328 / 4
LCM(20552,20564) = 105657832

Least Common Multiple (LCM) of 20552 and 20564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20552 and 20564. First we will calculate the prime factors of 20552 and 20564.

Prime Factorization of 20552

Prime Factorization of 20564

Now multiplying the highest exponent prime factors to calculate the LCM of 20552 and 20564.

LCM(20552,20564) = 2³ × 7¹ × 367¹ × 53¹ × 97¹
LCM(20552,20564) = 105657832