What is the Least Common Multiple of 20385 and 20402?

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 20385 and 20402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20385 and 20402, than apply into the LCM equation.

GCF(20385,20402) = 1
LCM(20385,20402) = ( 20385 × 20402) / 1
LCM(20385,20402) = 415894770 / 1
LCM(20385,20402) = 415894770

Least Common Multiple (LCM) of 20385 and 20402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20385 and 20402. First we will calculate the prime factors of 20385 and 20402.

Prime Factorization of 20385

Prime Factorization of 20402

Now multiplying the highest exponent prime factors to calculate the LCM of 20385 and 20402.

LCM(20385,20402) = 3³ × 5¹ × 151¹ × 2¹ × 101²
LCM(20385,20402) = 415894770