What is the Least Common Multiple of 20909 and 20915?

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 20909 and 20915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20909 and 20915, than apply into the LCM equation.

GCF(20909,20915) = 1
LCM(20909,20915) = ( 20909 × 20915) / 1
LCM(20909,20915) = 437311735 / 1
LCM(20909,20915) = 437311735

Least Common Multiple (LCM) of 20909 and 20915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20909 and 20915. First we will calculate the prime factors of 20909 and 20915.

Prime Factorization of 20909

Prime Factorization of 20915

Now multiplying the highest exponent prime factors to calculate the LCM of 20909 and 20915.

LCM(20909,20915) = 7¹ × 29¹ × 103¹ × 5¹ × 47¹ × 89¹
LCM(20909,20915) = 437311735