What is the Least Common Multiple of 29378 and 29398?

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 29378 and 29398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29378 and 29398, than apply into the LCM equation.

GCF(29378,29398) = 2
LCM(29378,29398) = ( 29378 × 29398) / 2
LCM(29378,29398) = 863654444 / 2
LCM(29378,29398) = 431827222

Least Common Multiple (LCM) of 29378 and 29398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29378 and 29398. First we will calculate the prime factors of 29378 and 29398.

Prime Factorization of 29378

Prime Factorization of 29398

Now multiplying the highest exponent prime factors to calculate the LCM of 29378 and 29398.

LCM(29378,29398) = 2¹ × 37¹ × 397¹ × 14699¹
LCM(29378,29398) = 431827222