GCF and LCM Calculator Logo

What is the Least Common Multiple of 91330 and 91348?

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 91330 and 91348 is 4171406420.

LCM(91330,91348) = 4171406420

LCM Calculator and
and

Least Common Multiple of 91330 and 91348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91330 and 91348, than apply into the LCM equation.

GCF(91330,91348) = 2
LCM(91330,91348) = ( 91330 × 91348) / 2
LCM(91330,91348) = 8342812840 / 2
LCM(91330,91348) = 4171406420

Least Common Multiple (LCM) of 91330 and 91348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91330 and 91348. First we will calculate the prime factors of 91330 and 91348.

Prime Factorization of 91330

Prime factors of 91330 are 2, 5, 9133. Prime factorization of 91330 in exponential form is:

91330 = 21 × 51 × 91331

Prime Factorization of 91348

Prime factors of 91348 are 2, 41, 557. Prime factorization of 91348 in exponential form is:

91348 = 22 × 411 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 91330 and 91348.

LCM(91330,91348) = 22 × 51 × 91331 × 411 × 5571
LCM(91330,91348) = 4171406420