What is the Least Common Multiple of 21546 and 21556?

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 21546 and 21556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21546 and 21556, than apply into the LCM equation.

GCF(21546,21556) = 2
LCM(21546,21556) = ( 21546 × 21556) / 2
LCM(21546,21556) = 464445576 / 2
LCM(21546,21556) = 232222788

Least Common Multiple (LCM) of 21546 and 21556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21546 and 21556. First we will calculate the prime factors of 21546 and 21556.

Prime Factorization of 21546

Prime Factorization of 21556

Now multiplying the highest exponent prime factors to calculate the LCM of 21546 and 21556.

LCM(21546,21556) = 2² × 3⁴ × 7¹ × 19¹ × 17¹ × 317¹
LCM(21546,21556) = 232222788