What is the Least Common Multiple of 20635 and 20650?

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 20635 and 20650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20635 and 20650, than apply into the LCM equation.

GCF(20635,20650) = 5
LCM(20635,20650) = ( 20635 × 20650) / 5
LCM(20635,20650) = 426112750 / 5
LCM(20635,20650) = 85222550

Least Common Multiple (LCM) of 20635 and 20650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20635 and 20650. First we will calculate the prime factors of 20635 and 20650.

Prime Factorization of 20635

Prime Factorization of 20650

Now multiplying the highest exponent prime factors to calculate the LCM of 20635 and 20650.

LCM(20635,20650) = 5² × 4127¹ × 2¹ × 7¹ × 59¹
LCM(20635,20650) = 85222550