What is the Least Common Multiple of 27904 and 27921?

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 27904 and 27921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27904 and 27921, than apply into the LCM equation.

GCF(27904,27921) = 1
LCM(27904,27921) = ( 27904 × 27921) / 1
LCM(27904,27921) = 779107584 / 1
LCM(27904,27921) = 779107584

Least Common Multiple (LCM) of 27904 and 27921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27904 and 27921. First we will calculate the prime factors of 27904 and 27921.

Prime Factorization of 27904

Prime Factorization of 27921

Now multiplying the highest exponent prime factors to calculate the LCM of 27904 and 27921.

LCM(27904,27921) = 2⁸ × 109¹ × 3¹ × 41¹ × 227¹
LCM(27904,27921) = 779107584