What is the Least Common Multiple of 21369 and 21380?

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 21369 and 21380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21369 and 21380, than apply into the LCM equation.

GCF(21369,21380) = 1
LCM(21369,21380) = ( 21369 × 21380) / 1
LCM(21369,21380) = 456869220 / 1
LCM(21369,21380) = 456869220

Least Common Multiple (LCM) of 21369 and 21380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21369 and 21380. First we will calculate the prime factors of 21369 and 21380.

Prime Factorization of 21369

Prime Factorization of 21380

Now multiplying the highest exponent prime factors to calculate the LCM of 21369 and 21380.

LCM(21369,21380) = 3¹ × 17¹ × 419¹ × 2² × 5¹ × 1069¹
LCM(21369,21380) = 456869220