What is the Least Common Multiple of 20470 and 20489?

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 20470 and 20489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20470 and 20489, than apply into the LCM equation.

GCF(20470,20489) = 1
LCM(20470,20489) = ( 20470 × 20489) / 1
LCM(20470,20489) = 419409830 / 1
LCM(20470,20489) = 419409830

Least Common Multiple (LCM) of 20470 and 20489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20470 and 20489. First we will calculate the prime factors of 20470 and 20489.

Prime Factorization of 20470

Prime Factorization of 20489

Now multiplying the highest exponent prime factors to calculate the LCM of 20470 and 20489.

LCM(20470,20489) = 2¹ × 5¹ × 23¹ × 89¹ × 7¹ × 2927¹
LCM(20470,20489) = 419409830