What is the Least Common Multiple of 20405 and 20415?

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 20405 and 20415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20405 and 20415, than apply into the LCM equation.

GCF(20405,20415) = 5
LCM(20405,20415) = ( 20405 × 20415) / 5
LCM(20405,20415) = 416568075 / 5
LCM(20405,20415) = 83313615

Least Common Multiple (LCM) of 20405 and 20415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20405 and 20415. First we will calculate the prime factors of 20405 and 20415.

Prime Factorization of 20405

Prime Factorization of 20415

Now multiplying the highest exponent prime factors to calculate the LCM of 20405 and 20415.

LCM(20405,20415) = 5¹ × 7¹ × 11¹ × 53¹ × 3¹ × 1361¹
LCM(20405,20415) = 83313615