What is the Least Common Multiple of 80465 and 80480?

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 80465 and 80480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80465 and 80480, than apply into the LCM equation.

GCF(80465,80480) = 5
LCM(80465,80480) = ( 80465 × 80480) / 5
LCM(80465,80480) = 6475823200 / 5
LCM(80465,80480) = 1295164640

Least Common Multiple (LCM) of 80465 and 80480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80465 and 80480. First we will calculate the prime factors of 80465 and 80480.

Prime Factorization of 80465

Prime Factorization of 80480

Now multiplying the highest exponent prime factors to calculate the LCM of 80465 and 80480.

LCM(80465,80480) = 5¹ × 7¹ × 11² × 19¹ × 2⁵ × 503¹
LCM(80465,80480) = 1295164640