What is the Least Common Multiple of 21470 and 21489?

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 21470 and 21489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21470 and 21489, than apply into the LCM equation.

GCF(21470,21489) = 19
LCM(21470,21489) = ( 21470 × 21489) / 19
LCM(21470,21489) = 461368830 / 19
LCM(21470,21489) = 24282570

Least Common Multiple (LCM) of 21470 and 21489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21470 and 21489. First we will calculate the prime factors of 21470 and 21489.

Prime Factorization of 21470

Prime Factorization of 21489

Now multiplying the highest exponent prime factors to calculate the LCM of 21470 and 21489.

LCM(21470,21489) = 2¹ × 5¹ × 19¹ × 113¹ × 3¹ × 13¹ × 29¹
LCM(21470,21489) = 24282570