What is the Least Common Multiple of 17900 and 17904?

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 17900 and 17904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17900 and 17904, than apply into the LCM equation.

GCF(17900,17904) = 4
LCM(17900,17904) = ( 17900 × 17904) / 4
LCM(17900,17904) = 320481600 / 4
LCM(17900,17904) = 80120400

Least Common Multiple (LCM) of 17900 and 17904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17900 and 17904. First we will calculate the prime factors of 17900 and 17904.

Prime Factorization of 17900

Prime Factorization of 17904

Now multiplying the highest exponent prime factors to calculate the LCM of 17900 and 17904.

LCM(17900,17904) = 2⁴ × 5² × 179¹ × 3¹ × 373¹
LCM(17900,17904) = 80120400