What is the Least Common Multiple of 71364 and 71378?

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 71364 and 71378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71364 and 71378, than apply into the LCM equation.

GCF(71364,71378) = 2
LCM(71364,71378) = ( 71364 × 71378) / 2
LCM(71364,71378) = 5093819592 / 2
LCM(71364,71378) = 2546909796

Least Common Multiple (LCM) of 71364 and 71378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71364 and 71378. First we will calculate the prime factors of 71364 and 71378.

Prime Factorization of 71364

Prime Factorization of 71378

Now multiplying the highest exponent prime factors to calculate the LCM of 71364 and 71378.

LCM(71364,71378) = 2² × 3¹ × 19¹ × 313¹ × 89¹ × 401¹
LCM(71364,71378) = 2546909796