GCF and LCM Calculator Logo

What is the Least Common Multiple of 91374 and 91381?

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 91374 and 91381 is 8349847494.

LCM(91374,91381) = 8349847494

LCM Calculator and
and

Least Common Multiple of 91374 and 91381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91374 and 91381, than apply into the LCM equation.

GCF(91374,91381) = 1
LCM(91374,91381) = ( 91374 × 91381) / 1
LCM(91374,91381) = 8349847494 / 1
LCM(91374,91381) = 8349847494

Least Common Multiple (LCM) of 91374 and 91381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91374 and 91381. First we will calculate the prime factors of 91374 and 91381.

Prime Factorization of 91374

Prime factors of 91374 are 2, 3, 97, 157. Prime factorization of 91374 in exponential form is:

91374 = 21 × 31 × 971 × 1571

Prime Factorization of 91381

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

91381 = 913811

Now multiplying the highest exponent prime factors to calculate the LCM of 91374 and 91381.

LCM(91374,91381) = 21 × 31 × 971 × 1571 × 913811
LCM(91374,91381) = 8349847494