What is the Least Common Multiple of 71384 and 71398?

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 71384 and 71398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71384 and 71398, than apply into the LCM equation.

GCF(71384,71398) = 2
LCM(71384,71398) = ( 71384 × 71398) / 2
LCM(71384,71398) = 5096674832 / 2
LCM(71384,71398) = 2548337416

Least Common Multiple (LCM) of 71384 and 71398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71384 and 71398. First we will calculate the prime factors of 71384 and 71398.

Prime Factorization of 71384

Prime Factorization of 71398

Now multiplying the highest exponent prime factors to calculate the LCM of 71384 and 71398.

LCM(71384,71398) = 2³ × 8923¹ × 29¹ × 1231¹
LCM(71384,71398) = 2548337416