What is the Least Common Multiple of 20535 and 20545?

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 20535 and 20545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20535 and 20545, than apply into the LCM equation.

GCF(20535,20545) = 5
LCM(20535,20545) = ( 20535 × 20545) / 5
LCM(20535,20545) = 421891575 / 5
LCM(20535,20545) = 84378315

Least Common Multiple (LCM) of 20535 and 20545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20535 and 20545. First we will calculate the prime factors of 20535 and 20545.

Prime Factorization of 20535

Prime Factorization of 20545

Now multiplying the highest exponent prime factors to calculate the LCM of 20535 and 20545.

LCM(20535,20545) = 3¹ × 5¹ × 37² × 7¹ × 587¹
LCM(20535,20545) = 84378315