What is the Least Common Multiple of 73300 and 73308?

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 73300 and 73308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73300 and 73308, than apply into the LCM equation.

GCF(73300,73308) = 4
LCM(73300,73308) = ( 73300 × 73308) / 4
LCM(73300,73308) = 5373476400 / 4
LCM(73300,73308) = 1343369100

Least Common Multiple (LCM) of 73300 and 73308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73300 and 73308. First we will calculate the prime factors of 73300 and 73308.

Prime Factorization of 73300

Prime Factorization of 73308

Now multiplying the highest exponent prime factors to calculate the LCM of 73300 and 73308.

LCM(73300,73308) = 2² × 5² × 733¹ × 3¹ × 41¹ × 149¹
LCM(73300,73308) = 1343369100