What is the Least Common Multiple of 51330 and 51345?

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 51330 and 51345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51330 and 51345, than apply into the LCM equation.

GCF(51330,51345) = 15
LCM(51330,51345) = ( 51330 × 51345) / 15
LCM(51330,51345) = 2635538850 / 15
LCM(51330,51345) = 175702590

Least Common Multiple (LCM) of 51330 and 51345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51330 and 51345. First we will calculate the prime factors of 51330 and 51345.

Prime Factorization of 51330

Prime Factorization of 51345

Now multiplying the highest exponent prime factors to calculate the LCM of 51330 and 51345.

LCM(51330,51345) = 2¹ × 3² × 5¹ × 29¹ × 59¹ × 7¹ × 163¹
LCM(51330,51345) = 175702590