What is the Least Common Multiple of 80480 and 80490?

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 80490 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 80490, than apply into the LCM equation.

GCF(80480,80490) = 10
LCM(80480,80490) = ( 80480 × 80490) / 10
LCM(80480,80490) = 6477835200 / 10
LCM(80480,80490) = 647783520

Least Common Multiple (LCM) of 80480 and 80490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80480 and 80490. First we will calculate the prime factors of 80480 and 80490.

Prime Factorization of 80480

Prime Factorization of 80490

Now multiplying the highest exponent prime factors to calculate the LCM of 80480 and 80490.

LCM(80480,80490) = 2⁵ × 5¹ × 503¹ × 3¹ × 2683¹
LCM(80480,80490) = 647783520