What is the Least Common Multiple of 81380 and 81398?

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 81380 and 81398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81380 and 81398, than apply into the LCM equation.

GCF(81380,81398) = 2
LCM(81380,81398) = ( 81380 × 81398) / 2
LCM(81380,81398) = 6624169240 / 2
LCM(81380,81398) = 3312084620

Least Common Multiple (LCM) of 81380 and 81398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81380 and 81398. First we will calculate the prime factors of 81380 and 81398.

Prime Factorization of 81380

Prime Factorization of 81398

Now multiplying the highest exponent prime factors to calculate the LCM of 81380 and 81398.

LCM(81380,81398) = 2² × 5¹ × 13¹ × 313¹ × 40699¹
LCM(81380,81398) = 3312084620