What is the Least Common Multiple of 20465 and 20474?

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 20465 and 20474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20465 and 20474, than apply into the LCM equation.

GCF(20465,20474) = 1
LCM(20465,20474) = ( 20465 × 20474) / 1
LCM(20465,20474) = 419000410 / 1
LCM(20465,20474) = 419000410

Least Common Multiple (LCM) of 20465 and 20474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20465 and 20474. First we will calculate the prime factors of 20465 and 20474.

Prime Factorization of 20465

Prime Factorization of 20474

Now multiplying the highest exponent prime factors to calculate the LCM of 20465 and 20474.

LCM(20465,20474) = 5¹ × 4093¹ × 2¹ × 29¹ × 353¹
LCM(20465,20474) = 419000410