What is the Least Common Multiple of 88355 and 88371?

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 88355 and 88371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88355 and 88371, than apply into the LCM equation.

GCF(88355,88371) = 1
LCM(88355,88371) = ( 88355 × 88371) / 1
LCM(88355,88371) = 7808019705 / 1
LCM(88355,88371) = 7808019705

Least Common Multiple (LCM) of 88355 and 88371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88355 and 88371. First we will calculate the prime factors of 88355 and 88371.

Prime Factorization of 88355

Prime Factorization of 88371

Now multiplying the highest exponent prime factors to calculate the LCM of 88355 and 88371.

LCM(88355,88371) = 5¹ × 41¹ × 431¹ × 3⁴ × 1091¹
LCM(88355,88371) = 7808019705