What is the Least Common Multiple of 91342 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 of 91342 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 91342 and 91348, than apply into the LCM equation.

GCF(91342,91348) = 2
LCM(91342,91348) = ( 91342 × 91348) / 2
LCM(91342,91348) = 8343909016 / 2
LCM(91342,91348) = 4171954508

Least Common Multiple (LCM) of 91342 and 91348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91342 and 91348. First we will calculate the prime factors of 91342 and 91348.

Prime Factorization of 91342

Prime Factorization of 91348

Now multiplying the highest exponent prime factors to calculate the LCM of 91342 and 91348.

LCM(91342,91348) = 2² × 109¹ × 419¹ × 41¹ × 557¹
LCM(91342,91348) = 4171954508