What is the Least Common Multiple of 73308 and 73327?

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 73308 and 73327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73308 and 73327, than apply into the LCM equation.

GCF(73308,73327) = 1
LCM(73308,73327) = ( 73308 × 73327) / 1
LCM(73308,73327) = 5375455716 / 1
LCM(73308,73327) = 5375455716

Least Common Multiple (LCM) of 73308 and 73327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73308 and 73327. First we will calculate the prime factors of 73308 and 73327.

Prime Factorization of 73308

Prime Factorization of 73327

Now multiplying the highest exponent prime factors to calculate the LCM of 73308 and 73327.

LCM(73308,73327) = 2² × 3¹ × 41¹ × 149¹ × 73327¹
LCM(73308,73327) = 5375455716