What is the Least Common Multiple of 30380 and 30398?

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 30380 and 30398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30380 and 30398, than apply into the LCM equation.

GCF(30380,30398) = 2
LCM(30380,30398) = ( 30380 × 30398) / 2
LCM(30380,30398) = 923491240 / 2
LCM(30380,30398) = 461745620

Least Common Multiple (LCM) of 30380 and 30398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30380 and 30398. First we will calculate the prime factors of 30380 and 30398.

Prime Factorization of 30380

Prime Factorization of 30398

Now multiplying the highest exponent prime factors to calculate the LCM of 30380 and 30398.

LCM(30380,30398) = 2² × 5¹ × 7² × 31¹ × 15199¹
LCM(30380,30398) = 461745620