What is the Least Common Multiple of 49084 and 49093?

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 49084 and 49093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49084 and 49093, than apply into the LCM equation.

GCF(49084,49093) = 1
LCM(49084,49093) = ( 49084 × 49093) / 1
LCM(49084,49093) = 2409680812 / 1
LCM(49084,49093) = 2409680812

Least Common Multiple (LCM) of 49084 and 49093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49084 and 49093. First we will calculate the prime factors of 49084 and 49093.

Prime Factorization of 49084

Prime Factorization of 49093

Now multiplying the highest exponent prime factors to calculate the LCM of 49084 and 49093.

LCM(49084,49093) = 2² × 7¹ × 1753¹ × 11¹ × 4463¹
LCM(49084,49093) = 2409680812