What is the Least Common Multiple of 80324 and 80333?

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 80324 and 80333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80324 and 80333, than apply into the LCM equation.

GCF(80324,80333) = 1
LCM(80324,80333) = ( 80324 × 80333) / 1
LCM(80324,80333) = 6452667892 / 1
LCM(80324,80333) = 6452667892

Least Common Multiple (LCM) of 80324 and 80333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80324 and 80333. First we will calculate the prime factors of 80324 and 80333.

Prime Factorization of 80324

Prime Factorization of 80333

Now multiplying the highest exponent prime factors to calculate the LCM of 80324 and 80333.

LCM(80324,80333) = 2² × 43¹ × 467¹ × 11¹ × 67¹ × 109¹
LCM(80324,80333) = 6452667892