What is the Least Common Multiple of 80480 and 80494?

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 80494 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 80494, than apply into the LCM equation.

GCF(80480,80494) = 2
LCM(80480,80494) = ( 80480 × 80494) / 2
LCM(80480,80494) = 6478157120 / 2
LCM(80480,80494) = 3239078560

Least Common Multiple (LCM) of 80480 and 80494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80480 and 80494. First we will calculate the prime factors of 80480 and 80494.

Prime Factorization of 80480

Prime Factorization of 80494

Now multiplying the highest exponent prime factors to calculate the LCM of 80480 and 80494.

LCM(80480,80494) = 2⁵ × 5¹ × 503¹ × 167¹ × 241¹
LCM(80480,80494) = 3239078560