What is the Least Common Multiple of 73365 and 73369?

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 73365 and 73369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73365 and 73369, than apply into the LCM equation.

GCF(73365,73369) = 1
LCM(73365,73369) = ( 73365 × 73369) / 1
LCM(73365,73369) = 5382716685 / 1
LCM(73365,73369) = 5382716685

Least Common Multiple (LCM) of 73365 and 73369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73365 and 73369. First we will calculate the prime factors of 73365 and 73369.

Prime Factorization of 73365

Prime Factorization of 73369

Now multiplying the highest exponent prime factors to calculate the LCM of 73365 and 73369.

LCM(73365,73369) = 3¹ × 5¹ × 67¹ × 73¹ × 73369¹
LCM(73365,73369) = 5382716685