What is the Least Common Multiple of 21320 and 21338?

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 21338 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 21338, than apply into the LCM equation.

GCF(21320,21338) = 2
LCM(21320,21338) = ( 21320 × 21338) / 2
LCM(21320,21338) = 454926160 / 2
LCM(21320,21338) = 227463080

Least Common Multiple (LCM) of 21320 and 21338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21320 and 21338. First we will calculate the prime factors of 21320 and 21338.

Prime Factorization of 21320

Prime Factorization of 21338

Now multiplying the highest exponent prime factors to calculate the LCM of 21320 and 21338.

LCM(21320,21338) = 2³ × 5¹ × 13¹ × 41¹ × 47¹ × 227¹
LCM(21320,21338) = 227463080