What is the Least Common Multiple of 51345 and 51360?

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 51360 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 51360, than apply into the LCM equation.

GCF(51345,51360) = 15
LCM(51345,51360) = ( 51345 × 51360) / 15
LCM(51345,51360) = 2637079200 / 15
LCM(51345,51360) = 175805280

Least Common Multiple (LCM) of 51345 and 51360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51345 and 51360. First we will calculate the prime factors of 51345 and 51360.

Prime Factorization of 51345

Prime Factorization of 51360

Now multiplying the highest exponent prime factors to calculate the LCM of 51345 and 51360.

LCM(51345,51360) = 3² × 5¹ × 7¹ × 163¹ × 2⁵ × 107¹
LCM(51345,51360) = 175805280