What is the Least Common Multiple of 9040 and 9049?

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 9040 and 9049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9040 and 9049, than apply into the LCM equation.

GCF(9040,9049) = 1
LCM(9040,9049) = ( 9040 × 9049) / 1
LCM(9040,9049) = 81802960 / 1
LCM(9040,9049) = 81802960

Least Common Multiple (LCM) of 9040 and 9049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9040 and 9049. First we will calculate the prime factors of 9040 and 9049.

Prime Factorization of 9040

Prime Factorization of 9049

Now multiplying the highest exponent prime factors to calculate the LCM of 9040 and 9049.

LCM(9040,9049) = 2⁴ × 5¹ × 113¹ × 9049¹
LCM(9040,9049) = 81802960