What is the Least Common Multiple of 67361 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 67361 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 67361 and 67365, than apply into the LCM equation.

GCF(67361,67365) = 1
LCM(67361,67365) = ( 67361 × 67365) / 1
LCM(67361,67365) = 4537773765 / 1
LCM(67361,67365) = 4537773765

Least Common Multiple (LCM) of 67361 and 67365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67361 and 67365. First we will calculate the prime factors of 67361 and 67365.

Prime Factorization of 67361

Prime Factorization of 67365

Now multiplying the highest exponent prime factors to calculate the LCM of 67361 and 67365.

LCM(67361,67365) = 7¹ × 9623¹ × 3³ × 5¹ × 499¹
LCM(67361,67365) = 4537773765