What is the Least Common Multiple of 27904 and 27924?

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 27924 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 27924, than apply into the LCM equation.

GCF(27904,27924) = 4
LCM(27904,27924) = ( 27904 × 27924) / 4
LCM(27904,27924) = 779191296 / 4
LCM(27904,27924) = 194797824

Least Common Multiple (LCM) of 27904 and 27924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27904 and 27924. First we will calculate the prime factors of 27904 and 27924.

Prime Factorization of 27904

Prime Factorization of 27924

Now multiplying the highest exponent prime factors to calculate the LCM of 27904 and 27924.

LCM(27904,27924) = 2⁸ × 109¹ × 3¹ × 13¹ × 179¹
LCM(27904,27924) = 194797824