What is the Least Common Multiple of 21305 and 21310?

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 21305 and 21310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21305 and 21310, than apply into the LCM equation.

GCF(21305,21310) = 5
LCM(21305,21310) = ( 21305 × 21310) / 5
LCM(21305,21310) = 454009550 / 5
LCM(21305,21310) = 90801910

Least Common Multiple (LCM) of 21305 and 21310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21305 and 21310. First we will calculate the prime factors of 21305 and 21310.

Prime Factorization of 21305

Prime Factorization of 21310

Now multiplying the highest exponent prime factors to calculate the LCM of 21305 and 21310.

LCM(21305,21310) = 5¹ × 4261¹ × 2¹ × 2131¹
LCM(21305,21310) = 90801910