What is the Least Common Multiple of 51928 and 51935?

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 51928 and 51935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51928 and 51935, than apply into the LCM equation.

GCF(51928,51935) = 1
LCM(51928,51935) = ( 51928 × 51935) / 1
LCM(51928,51935) = 2696880680 / 1
LCM(51928,51935) = 2696880680

Least Common Multiple (LCM) of 51928 and 51935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51928 and 51935. First we will calculate the prime factors of 51928 and 51935.

Prime Factorization of 51928

Prime Factorization of 51935

Now multiplying the highest exponent prime factors to calculate the LCM of 51928 and 51935.

LCM(51928,51935) = 2³ × 6491¹ × 5¹ × 13¹ × 17¹ × 47¹
LCM(51928,51935) = 2696880680