What is the Least Common Multiple of 25928 and 25942?

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 25928 and 25942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25928 and 25942, than apply into the LCM equation.

GCF(25928,25942) = 14
LCM(25928,25942) = ( 25928 × 25942) / 14
LCM(25928,25942) = 672624176 / 14
LCM(25928,25942) = 48044584

Least Common Multiple (LCM) of 25928 and 25942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25928 and 25942. First we will calculate the prime factors of 25928 and 25942.

Prime Factorization of 25928

Prime Factorization of 25942

Now multiplying the highest exponent prime factors to calculate the LCM of 25928 and 25942.

LCM(25928,25942) = 2³ × 7¹ × 463¹ × 17¹ × 109¹
LCM(25928,25942) = 48044584