What is the Least Common Multiple of 51345 and 51365?

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 51345 and 51365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51345 and 51365, than apply into the LCM equation.

GCF(51345,51365) = 5
LCM(51345,51365) = ( 51345 × 51365) / 5
LCM(51345,51365) = 2637335925 / 5
LCM(51345,51365) = 527467185

Least Common Multiple (LCM) of 51345 and 51365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51345 and 51365. First we will calculate the prime factors of 51345 and 51365.

Prime Factorization of 51345

Prime Factorization of 51365

Now multiplying the highest exponent prime factors to calculate the LCM of 51345 and 51365.

LCM(51345,51365) = 3² × 5¹ × 7¹ × 163¹ × 10273¹
LCM(51345,51365) = 527467185