What is the Least Common Multiple of 20573 and 20587?

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 20573 and 20587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20573 and 20587, than apply into the LCM equation.

GCF(20573,20587) = 7
LCM(20573,20587) = ( 20573 × 20587) / 7
LCM(20573,20587) = 423536351 / 7
LCM(20573,20587) = 60505193

Least Common Multiple (LCM) of 20573 and 20587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20573 and 20587. First we will calculate the prime factors of 20573 and 20587.

Prime Factorization of 20573

Prime Factorization of 20587

Now multiplying the highest exponent prime factors to calculate the LCM of 20573 and 20587.

LCM(20573,20587) = 7¹ × 2939¹ × 17¹ × 173¹
LCM(20573,20587) = 60505193