What is the Least Common Multiple of 20398 and 20411?

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 20398 and 20411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20398 and 20411, than apply into the LCM equation.

GCF(20398,20411) = 1
LCM(20398,20411) = ( 20398 × 20411) / 1
LCM(20398,20411) = 416343578 / 1
LCM(20398,20411) = 416343578

Least Common Multiple (LCM) of 20398 and 20411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20398 and 20411. First we will calculate the prime factors of 20398 and 20411.

Prime Factorization of 20398

Prime Factorization of 20411

Now multiplying the highest exponent prime factors to calculate the LCM of 20398 and 20411.

LCM(20398,20411) = 2¹ × 7¹ × 31¹ × 47¹ × 20411¹
LCM(20398,20411) = 416343578