What is the Least Common Multiple of 73365 and 73383?

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 73383 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 73383, than apply into the LCM equation.

GCF(73365,73383) = 3
LCM(73365,73383) = ( 73365 × 73383) / 3
LCM(73365,73383) = 5383743795 / 3
LCM(73365,73383) = 1794581265

Least Common Multiple (LCM) of 73365 and 73383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73365 and 73383. First we will calculate the prime factors of 73365 and 73383.

Prime Factorization of 73365

Prime Factorization of 73383

Now multiplying the highest exponent prime factors to calculate the LCM of 73365 and 73383.

LCM(73365,73383) = 3¹ × 5¹ × 67¹ × 73¹ × 61¹ × 401¹
LCM(73365,73383) = 1794581265