What is the Least Common Multiple of 51968 and 51975?

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 51968 and 51975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51968 and 51975, than apply into the LCM equation.

GCF(51968,51975) = 7
LCM(51968,51975) = ( 51968 × 51975) / 7
LCM(51968,51975) = 2701036800 / 7
LCM(51968,51975) = 385862400

Least Common Multiple (LCM) of 51968 and 51975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51968 and 51975. First we will calculate the prime factors of 51968 and 51975.

Prime Factorization of 51968

Prime Factorization of 51975

Now multiplying the highest exponent prime factors to calculate the LCM of 51968 and 51975.

LCM(51968,51975) = 2⁸ × 7¹ × 29¹ × 3³ × 5² × 11¹
LCM(51968,51975) = 385862400