What is the Least Common Multiple of 73314 and 73328?

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 73314 and 73328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73314 and 73328, than apply into the LCM equation.

GCF(73314,73328) = 2
LCM(73314,73328) = ( 73314 × 73328) / 2
LCM(73314,73328) = 5375968992 / 2
LCM(73314,73328) = 2687984496

Least Common Multiple (LCM) of 73314 and 73328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73314 and 73328. First we will calculate the prime factors of 73314 and 73328.

Prime Factorization of 73314

Prime Factorization of 73328

Now multiplying the highest exponent prime factors to calculate the LCM of 73314 and 73328.

LCM(73314,73328) = 2⁴ × 3² × 4073¹ × 4583¹
LCM(73314,73328) = 2687984496