What is the Least Common Multiple of 20489 and 20497?

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 20489 and 20497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20489 and 20497, than apply into the LCM equation.

GCF(20489,20497) = 1
LCM(20489,20497) = ( 20489 × 20497) / 1
LCM(20489,20497) = 419963033 / 1
LCM(20489,20497) = 419963033

Least Common Multiple (LCM) of 20489 and 20497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20489 and 20497. First we will calculate the prime factors of 20489 and 20497.

Prime Factorization of 20489

Prime Factorization of 20497

Now multiplying the highest exponent prime factors to calculate the LCM of 20489 and 20497.

LCM(20489,20497) = 7¹ × 2927¹ × 103¹ × 199¹
LCM(20489,20497) = 419963033