What is the Least Common Multiple of 21320 and 21334?

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 21320 and 21334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21320 and 21334, than apply into the LCM equation.

GCF(21320,21334) = 2
LCM(21320,21334) = ( 21320 × 21334) / 2
LCM(21320,21334) = 454840880 / 2
LCM(21320,21334) = 227420440

Least Common Multiple (LCM) of 21320 and 21334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21320 and 21334. First we will calculate the prime factors of 21320 and 21334.

Prime Factorization of 21320

Prime Factorization of 21334

Now multiplying the highest exponent prime factors to calculate the LCM of 21320 and 21334.

LCM(21320,21334) = 2³ × 5¹ × 13¹ × 41¹ × 10667¹
LCM(21320,21334) = 227420440