What is the Least Common Multiple of 9049 and 9063?

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 9049 and 9063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9049 and 9063, than apply into the LCM equation.

GCF(9049,9063) = 1
LCM(9049,9063) = ( 9049 × 9063) / 1
LCM(9049,9063) = 82011087 / 1
LCM(9049,9063) = 82011087

Least Common Multiple (LCM) of 9049 and 9063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9049 and 9063. First we will calculate the prime factors of 9049 and 9063.

Prime Factorization of 9049

Prime Factorization of 9063

Now multiplying the highest exponent prime factors to calculate the LCM of 9049 and 9063.

LCM(9049,9063) = 9049¹ × 3² × 19¹ × 53¹
LCM(9049,9063) = 82011087