What is the Least Common Multiple of 73305 and 73314?

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 73305 and 73314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73305 and 73314, than apply into the LCM equation.

GCF(73305,73314) = 9
LCM(73305,73314) = ( 73305 × 73314) / 9
LCM(73305,73314) = 5374282770 / 9
LCM(73305,73314) = 597142530

Least Common Multiple (LCM) of 73305 and 73314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73305 and 73314. First we will calculate the prime factors of 73305 and 73314.

Prime Factorization of 73305

Prime Factorization of 73314

Now multiplying the highest exponent prime factors to calculate the LCM of 73305 and 73314.

LCM(73305,73314) = 3⁴ × 5¹ × 181¹ × 2¹ × 4073¹
LCM(73305,73314) = 597142530