What is the Least Common Multiple of 20564 and 20572?

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 20564 and 20572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20564 and 20572, than apply into the LCM equation.

GCF(20564,20572) = 4
LCM(20564,20572) = ( 20564 × 20572) / 4
LCM(20564,20572) = 423042608 / 4
LCM(20564,20572) = 105760652

Least Common Multiple (LCM) of 20564 and 20572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20564 and 20572. First we will calculate the prime factors of 20564 and 20572.

Prime Factorization of 20564

Prime Factorization of 20572

Now multiplying the highest exponent prime factors to calculate the LCM of 20564 and 20572.

LCM(20564,20572) = 2² × 53¹ × 97¹ × 37¹ × 139¹
LCM(20564,20572) = 105760652