What is the Least Common Multiple of 60351 and 60369?

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 60351 and 60369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60351 and 60369, than apply into the LCM equation.

GCF(60351,60369) = 3
LCM(60351,60369) = ( 60351 × 60369) / 3
LCM(60351,60369) = 3643329519 / 3
LCM(60351,60369) = 1214443173

Least Common Multiple (LCM) of 60351 and 60369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60351 and 60369. First we will calculate the prime factors of 60351 and 60369.

Prime Factorization of 60351

Prime Factorization of 60369

Now multiplying the highest exponent prime factors to calculate the LCM of 60351 and 60369.

LCM(60351,60369) = 3¹ × 20117¹ × 20123¹
LCM(60351,60369) = 1214443173