What is the Least Common Multiple of 20461 and 20471?

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 20471 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 20471, than apply into the LCM equation.

GCF(20461,20471) = 1
LCM(20461,20471) = ( 20461 × 20471) / 1
LCM(20461,20471) = 418857131 / 1
LCM(20461,20471) = 418857131

Least Common Multiple (LCM) of 20461 and 20471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20461 and 20471. First we will calculate the prime factors of 20461 and 20471.

Prime Factorization of 20461

Prime Factorization of 20471

Now multiplying the highest exponent prime factors to calculate the LCM of 20461 and 20471.

LCM(20461,20471) = 7¹ × 37¹ × 79¹ × 11¹ × 1861¹
LCM(20461,20471) = 418857131