What is the Least Common Multiple of 60345 and 60353?

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 60353 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 60353, than apply into the LCM equation.

GCF(60345,60353) = 1
LCM(60345,60353) = ( 60345 × 60353) / 1
LCM(60345,60353) = 3642001785 / 1
LCM(60345,60353) = 3642001785

Least Common Multiple (LCM) of 60345 and 60353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60345 and 60353. First we will calculate the prime factors of 60345 and 60353.

Prime Factorization of 60345

Prime Factorization of 60353

Now multiplying the highest exponent prime factors to calculate the LCM of 60345 and 60353.

LCM(60345,60353) = 3⁴ × 5¹ × 149¹ × 60353¹
LCM(60345,60353) = 3642001785