What is the Least Common Multiple of 21357 and 21376?

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 21357 and 21376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21357 and 21376, than apply into the LCM equation.

GCF(21357,21376) = 1
LCM(21357,21376) = ( 21357 × 21376) / 1
LCM(21357,21376) = 456527232 / 1
LCM(21357,21376) = 456527232

Least Common Multiple (LCM) of 21357 and 21376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21357 and 21376. First we will calculate the prime factors of 21357 and 21376.

Prime Factorization of 21357

Prime Factorization of 21376

Now multiplying the highest exponent prime factors to calculate the LCM of 21357 and 21376.

LCM(21357,21376) = 3³ × 7¹ × 113¹ × 2⁷ × 167¹
LCM(21357,21376) = 456527232