What is the Least Common Multiple of 9028 and 9040?

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 9028 and 9040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9028 and 9040, than apply into the LCM equation.

GCF(9028,9040) = 4
LCM(9028,9040) = ( 9028 × 9040) / 4
LCM(9028,9040) = 81613120 / 4
LCM(9028,9040) = 20403280

Least Common Multiple (LCM) of 9028 and 9040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9028 and 9040. First we will calculate the prime factors of 9028 and 9040.

Prime Factorization of 9028

Prime Factorization of 9040

Now multiplying the highest exponent prime factors to calculate the LCM of 9028 and 9040.

LCM(9028,9040) = 2⁴ × 37¹ × 61¹ × 5¹ × 113¹
LCM(9028,9040) = 20403280