What is the Least Common Multiple of 21380 and 21386?

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 21380 and 21386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21380 and 21386, than apply into the LCM equation.

GCF(21380,21386) = 2
LCM(21380,21386) = ( 21380 × 21386) / 2
LCM(21380,21386) = 457232680 / 2
LCM(21380,21386) = 228616340

Least Common Multiple (LCM) of 21380 and 21386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21380 and 21386. First we will calculate the prime factors of 21380 and 21386.

Prime Factorization of 21380

Prime Factorization of 21386

Now multiplying the highest exponent prime factors to calculate the LCM of 21380 and 21386.

LCM(21380,21386) = 2² × 5¹ × 1069¹ × 17² × 37¹
LCM(21380,21386) = 228616340