What is the Least Common Multiple of 51888 and 51904?

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 51888 and 51904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51888 and 51904, than apply into the LCM equation.

GCF(51888,51904) = 16
LCM(51888,51904) = ( 51888 × 51904) / 16
LCM(51888,51904) = 2693194752 / 16
LCM(51888,51904) = 168324672

Least Common Multiple (LCM) of 51888 and 51904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51888 and 51904. First we will calculate the prime factors of 51888 and 51904.

Prime Factorization of 51888

Prime Factorization of 51904

Now multiplying the highest exponent prime factors to calculate the LCM of 51888 and 51904.

LCM(51888,51904) = 2⁶ × 3¹ × 23¹ × 47¹ × 811¹
LCM(51888,51904) = 168324672