What is the Least Common Multiple of 21470 and 21484?

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 21484 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 21484, than apply into the LCM equation.

GCF(21470,21484) = 2
LCM(21470,21484) = ( 21470 × 21484) / 2
LCM(21470,21484) = 461261480 / 2
LCM(21470,21484) = 230630740

Least Common Multiple (LCM) of 21470 and 21484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21470 and 21484. First we will calculate the prime factors of 21470 and 21484.

Prime Factorization of 21470

Prime Factorization of 21484

Now multiplying the highest exponent prime factors to calculate the LCM of 21470 and 21484.

LCM(21470,21484) = 2² × 5¹ × 19¹ × 113¹ × 41¹ × 131¹
LCM(21470,21484) = 230630740