What is the Least Common Multiple of 60345 and 60351?

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 60345 and 60351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60345 and 60351, than apply into the LCM equation.

GCF(60345,60351) = 3
LCM(60345,60351) = ( 60345 × 60351) / 3
LCM(60345,60351) = 3641881095 / 3
LCM(60345,60351) = 1213960365

Least Common Multiple (LCM) of 60345 and 60351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60345 and 60351. First we will calculate the prime factors of 60345 and 60351.

Prime Factorization of 60345

Prime Factorization of 60351

Now multiplying the highest exponent prime factors to calculate the LCM of 60345 and 60351.

LCM(60345,60351) = 3⁴ × 5¹ × 149¹ × 20117¹
LCM(60345,60351) = 1213960365