What is the Least Common Multiple of 80272 and 80280?

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 80272 and 80280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80272 and 80280, than apply into the LCM equation.

GCF(80272,80280) = 8
LCM(80272,80280) = ( 80272 × 80280) / 8
LCM(80272,80280) = 6444236160 / 8
LCM(80272,80280) = 805529520

Least Common Multiple (LCM) of 80272 and 80280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80272 and 80280. First we will calculate the prime factors of 80272 and 80280.

Prime Factorization of 80272

Prime Factorization of 80280

Now multiplying the highest exponent prime factors to calculate the LCM of 80272 and 80280.

LCM(80272,80280) = 2⁴ × 29¹ × 173¹ × 3² × 5¹ × 223¹
LCM(80272,80280) = 805529520