What is the Least Common Multiple of 21392 and 21406?

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 21392 and 21406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21392 and 21406, than apply into the LCM equation.

GCF(21392,21406) = 14
LCM(21392,21406) = ( 21392 × 21406) / 14
LCM(21392,21406) = 457917152 / 14
LCM(21392,21406) = 32708368

Least Common Multiple (LCM) of 21392 and 21406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21392 and 21406. First we will calculate the prime factors of 21392 and 21406.

Prime Factorization of 21392

Prime Factorization of 21406

Now multiplying the highest exponent prime factors to calculate the LCM of 21392 and 21406.

LCM(21392,21406) = 2⁴ × 7¹ × 191¹ × 11¹ × 139¹
LCM(21392,21406) = 32708368