What is the Least Common Multiple of 20461 and 20481?

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 20461 and 20481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20461 and 20481, than apply into the LCM equation.

GCF(20461,20481) = 1
LCM(20461,20481) = ( 20461 × 20481) / 1
LCM(20461,20481) = 419061741 / 1
LCM(20461,20481) = 419061741

Least Common Multiple (LCM) of 20461 and 20481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20461 and 20481. First we will calculate the prime factors of 20461 and 20481.

Prime Factorization of 20461

Prime Factorization of 20481

Now multiplying the highest exponent prime factors to calculate the LCM of 20461 and 20481.

LCM(20461,20481) = 7¹ × 37¹ × 79¹ × 3¹ × 6827¹
LCM(20461,20481) = 419061741