What is the Least Common Multiple of 20522 and 20539?

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 20522 and 20539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20522 and 20539, than apply into the LCM equation.

GCF(20522,20539) = 1
LCM(20522,20539) = ( 20522 × 20539) / 1
LCM(20522,20539) = 421501358 / 1
LCM(20522,20539) = 421501358

Least Common Multiple (LCM) of 20522 and 20539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20522 and 20539. First we will calculate the prime factors of 20522 and 20539.

Prime Factorization of 20522

Prime Factorization of 20539

Now multiplying the highest exponent prime factors to calculate the LCM of 20522 and 20539.

LCM(20522,20539) = 2¹ × 31¹ × 331¹ × 19¹ × 23¹ × 47¹
LCM(20522,20539) = 421501358