What is the Least Common Multiple of 51264 and 51273?

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 51264 and 51273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51264 and 51273, than apply into the LCM equation.

GCF(51264,51273) = 9
LCM(51264,51273) = ( 51264 × 51273) / 9
LCM(51264,51273) = 2628459072 / 9
LCM(51264,51273) = 292051008

Least Common Multiple (LCM) of 51264 and 51273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51264 and 51273. First we will calculate the prime factors of 51264 and 51273.

Prime Factorization of 51264

Prime Factorization of 51273

Now multiplying the highest exponent prime factors to calculate the LCM of 51264 and 51273.

LCM(51264,51273) = 2⁶ × 3⁵ × 89¹ × 211¹
LCM(51264,51273) = 292051008