What is the Least Common Multiple of 67353 and 67365?

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 67353 and 67365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67353 and 67365, than apply into the LCM equation.

GCF(67353,67365) = 3
LCM(67353,67365) = ( 67353 × 67365) / 3
LCM(67353,67365) = 4537234845 / 3
LCM(67353,67365) = 1512411615

Least Common Multiple (LCM) of 67353 and 67365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67353 and 67365. First we will calculate the prime factors of 67353 and 67365.

Prime Factorization of 67353

Prime Factorization of 67365

Now multiplying the highest exponent prime factors to calculate the LCM of 67353 and 67365.

LCM(67353,67365) = 3³ × 11¹ × 13¹ × 157¹ × 5¹ × 499¹
LCM(67353,67365) = 1512411615