GCF and LCM Calculator Logo

What is the Least Common Multiple of 91474 and 91483?

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 91474 and 91483 is 8368315942.

LCM(91474,91483) = 8368315942

LCM Calculator and
and

Least Common Multiple of 91474 and 91483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91474 and 91483, than apply into the LCM equation.

GCF(91474,91483) = 1
LCM(91474,91483) = ( 91474 × 91483) / 1
LCM(91474,91483) = 8368315942 / 1
LCM(91474,91483) = 8368315942

Least Common Multiple (LCM) of 91474 and 91483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91474 and 91483. First we will calculate the prime factors of 91474 and 91483.

Prime Factorization of 91474

Prime factors of 91474 are 2, 45737. Prime factorization of 91474 in exponential form is:

91474 = 21 × 457371

Prime Factorization of 91483

Prime factors of 91483 are 7, 1867. Prime factorization of 91483 in exponential form is:

91483 = 72 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 91474 and 91483.

LCM(91474,91483) = 21 × 457371 × 72 × 18671
LCM(91474,91483) = 8368315942