What is the Least Common Multiple of 73280 and 73300?

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 73280 and 73300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73280 and 73300, than apply into the LCM equation.

GCF(73280,73300) = 20
LCM(73280,73300) = ( 73280 × 73300) / 20
LCM(73280,73300) = 5371424000 / 20
LCM(73280,73300) = 268571200

Least Common Multiple (LCM) of 73280 and 73300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73280 and 73300. First we will calculate the prime factors of 73280 and 73300.

Prime Factorization of 73280

Prime Factorization of 73300

Now multiplying the highest exponent prime factors to calculate the LCM of 73280 and 73300.

LCM(73280,73300) = 2⁶ × 5² × 229¹ × 733¹
LCM(73280,73300) = 268571200