GCF and LCM Calculator Logo

What is the Least Common Multiple of 91381 and 91390?

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 (LCM) of 91381 and 91390 is 8351309590.

LCM(91381,91390) = 8351309590

LCM Calculator and
and

Least Common Multiple of 91381 and 91390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91381 and 91390, than apply into the LCM equation.

GCF(91381,91390) = 1
LCM(91381,91390) = ( 91381 × 91390) / 1
LCM(91381,91390) = 8351309590 / 1
LCM(91381,91390) = 8351309590

Least Common Multiple (LCM) of 91381 and 91390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91381 and 91390. First we will calculate the prime factors of 91381 and 91390.

Prime Factorization of 91381

Prime factors of 91381 are 91381. Prime factorization of 91381 in exponential form is:

91381 = 913811

Prime Factorization of 91390

Prime factors of 91390 are 2, 5, 13, 19, 37. Prime factorization of 91390 in exponential form is:

91390 = 21 × 51 × 131 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 91381 and 91390.

LCM(91381,91390) = 913811 × 21 × 51 × 131 × 191 × 371
LCM(91381,91390) = 8351309590