What is the Least Common Multiple of 51888 and 51902?

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 51902 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 51902, than apply into the LCM equation.

GCF(51888,51902) = 2
LCM(51888,51902) = ( 51888 × 51902) / 2
LCM(51888,51902) = 2693090976 / 2
LCM(51888,51902) = 1346545488

Least Common Multiple (LCM) of 51888 and 51902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51888 and 51902. First we will calculate the prime factors of 51888 and 51902.

Prime Factorization of 51888

Prime Factorization of 51902

Now multiplying the highest exponent prime factors to calculate the LCM of 51888 and 51902.

LCM(51888,51902) = 2⁴ × 3¹ × 23¹ × 47¹ × 25951¹
LCM(51888,51902) = 1346545488