What is the Least Common Multiple of 80280 and 80300?

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 80280 and 80300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80280 and 80300, than apply into the LCM equation.

GCF(80280,80300) = 20
LCM(80280,80300) = ( 80280 × 80300) / 20
LCM(80280,80300) = 6446484000 / 20
LCM(80280,80300) = 322324200

Least Common Multiple (LCM) of 80280 and 80300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80280 and 80300. First we will calculate the prime factors of 80280 and 80300.

Prime Factorization of 80280

Prime Factorization of 80300

Now multiplying the highest exponent prime factors to calculate the LCM of 80280 and 80300.

LCM(80280,80300) = 2³ × 3² × 5² × 223¹ × 11¹ × 73¹
LCM(80280,80300) = 322324200