What is the Least Common Multiple of 60336 and 60345?

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 60336 and 60345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60336 and 60345, than apply into the LCM equation.

GCF(60336,60345) = 9
LCM(60336,60345) = ( 60336 × 60345) / 9
LCM(60336,60345) = 3640975920 / 9
LCM(60336,60345) = 404552880

Least Common Multiple (LCM) of 60336 and 60345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60336 and 60345. First we will calculate the prime factors of 60336 and 60345.

Prime Factorization of 60336

Prime Factorization of 60345

Now multiplying the highest exponent prime factors to calculate the LCM of 60336 and 60345.

LCM(60336,60345) = 2⁴ × 3⁴ × 419¹ × 5¹ × 149¹
LCM(60336,60345) = 404552880