What is the Least Common Multiple of 91400 and 91413?

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 of 91400 and 91413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91400 and 91413, than apply into the LCM equation.

GCF(91400,91413) = 1
LCM(91400,91413) = ( 91400 × 91413) / 1
LCM(91400,91413) = 8355148200 / 1
LCM(91400,91413) = 8355148200

Least Common Multiple (LCM) of 91400 and 91413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91400 and 91413. First we will calculate the prime factors of 91400 and 91413.

Prime Factorization of 91400

Prime Factorization of 91413

Now multiplying the highest exponent prime factors to calculate the LCM of 91400 and 91413.

LCM(91400,91413) = 2³ × 5² × 457¹ × 3² × 7¹ × 1451¹
LCM(91400,91413) = 8355148200