What is the Least Common Multiple of 21345 and 21358?

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 21358 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 21358, than apply into the LCM equation.

GCF(21345,21358) = 1
LCM(21345,21358) = ( 21345 × 21358) / 1
LCM(21345,21358) = 455886510 / 1
LCM(21345,21358) = 455886510

Least Common Multiple (LCM) of 21345 and 21358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21345 and 21358. First we will calculate the prime factors of 21345 and 21358.

Prime Factorization of 21345

Prime Factorization of 21358

Now multiplying the highest exponent prime factors to calculate the LCM of 21345 and 21358.

LCM(21345,21358) = 3¹ × 5¹ × 1423¹ × 2¹ × 59¹ × 181¹
LCM(21345,21358) = 455886510