What is the Least Common Multiple of 11380 and 11398?

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 11380 and 11398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11380 and 11398, than apply into the LCM equation.

GCF(11380,11398) = 2
LCM(11380,11398) = ( 11380 × 11398) / 2
LCM(11380,11398) = 129709240 / 2
LCM(11380,11398) = 64854620

Least Common Multiple (LCM) of 11380 and 11398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11380 and 11398. First we will calculate the prime factors of 11380 and 11398.

Prime Factorization of 11380

Prime Factorization of 11398

Now multiplying the highest exponent prime factors to calculate the LCM of 11380 and 11398.

LCM(11380,11398) = 2² × 5¹ × 569¹ × 41¹ × 139¹
LCM(11380,11398) = 64854620