What is the Least Common Multiple of 49131 and 49146?

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 49131 and 49146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49131 and 49146, than apply into the LCM equation.

GCF(49131,49146) = 3
LCM(49131,49146) = ( 49131 × 49146) / 3
LCM(49131,49146) = 2414592126 / 3
LCM(49131,49146) = 804864042

Least Common Multiple (LCM) of 49131 and 49146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49131 and 49146. First we will calculate the prime factors of 49131 and 49146.

Prime Factorization of 49131

Prime Factorization of 49146

Now multiplying the highest exponent prime factors to calculate the LCM of 49131 and 49146.

LCM(49131,49146) = 3² × 53¹ × 103¹ × 2¹ × 8191¹
LCM(49131,49146) = 804864042