What is the Least Common Multiple of 80280 and 80290?

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 80290 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 80290, than apply into the LCM equation.

GCF(80280,80290) = 10
LCM(80280,80290) = ( 80280 × 80290) / 10
LCM(80280,80290) = 6445681200 / 10
LCM(80280,80290) = 644568120

Least Common Multiple (LCM) of 80280 and 80290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80280 and 80290. First we will calculate the prime factors of 80280 and 80290.

Prime Factorization of 80280

Prime Factorization of 80290

Now multiplying the highest exponent prime factors to calculate the LCM of 80280 and 80290.

LCM(80280,80290) = 2³ × 3² × 5¹ × 223¹ × 7¹ × 31¹ × 37¹
LCM(80280,80290) = 644568120