GCF and LCM Calculator Logo

What is the Least Common Multiple of 91450 and 91468?

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 91450 and 91468 is 4182374300.

LCM(91450,91468) = 4182374300

LCM Calculator and
and

Least Common Multiple of 91450 and 91468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91450 and 91468, than apply into the LCM equation.

GCF(91450,91468) = 2
LCM(91450,91468) = ( 91450 × 91468) / 2
LCM(91450,91468) = 8364748600 / 2
LCM(91450,91468) = 4182374300

Least Common Multiple (LCM) of 91450 and 91468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91450 and 91468. First we will calculate the prime factors of 91450 and 91468.

Prime Factorization of 91450

Prime factors of 91450 are 2, 5, 31, 59. Prime factorization of 91450 in exponential form is:

91450 = 21 × 52 × 311 × 591

Prime Factorization of 91468

Prime factors of 91468 are 2, 13, 1759. Prime factorization of 91468 in exponential form is:

91468 = 22 × 131 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 91450 and 91468.

LCM(91450,91468) = 22 × 52 × 311 × 591 × 131 × 17591
LCM(91450,91468) = 4182374300