What is the Least Common Multiple of 21345 and 21356?

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 21345 and 21356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21345 and 21356, than apply into the LCM equation.

GCF(21345,21356) = 1
LCM(21345,21356) = ( 21345 × 21356) / 1
LCM(21345,21356) = 455843820 / 1
LCM(21345,21356) = 455843820

Least Common Multiple (LCM) of 21345 and 21356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21345 and 21356. First we will calculate the prime factors of 21345 and 21356.

Prime Factorization of 21345

Prime Factorization of 21356

Now multiplying the highest exponent prime factors to calculate the LCM of 21345 and 21356.

LCM(21345,21356) = 3¹ × 5¹ × 1423¹ × 2² × 19¹ × 281¹
LCM(21345,21356) = 455843820