What is the Least Common Multiple of 80480 and 80492?

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 80480 and 80492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80480 and 80492, than apply into the LCM equation.

GCF(80480,80492) = 4
LCM(80480,80492) = ( 80480 × 80492) / 4
LCM(80480,80492) = 6477996160 / 4
LCM(80480,80492) = 1619499040

Least Common Multiple (LCM) of 80480 and 80492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80480 and 80492. First we will calculate the prime factors of 80480 and 80492.

Prime Factorization of 80480

Prime Factorization of 80492

Now multiplying the highest exponent prime factors to calculate the LCM of 80480 and 80492.

LCM(80480,80492) = 2⁵ × 5¹ × 503¹ × 20123¹
LCM(80480,80492) = 1619499040