What is the Least Common Multiple of 80490 and 80498?

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 80490 and 80498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80490 and 80498, than apply into the LCM equation.

GCF(80490,80498) = 2
LCM(80490,80498) = ( 80490 × 80498) / 2
LCM(80490,80498) = 6479284020 / 2
LCM(80490,80498) = 3239642010

Least Common Multiple (LCM) of 80490 and 80498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80490 and 80498. First we will calculate the prime factors of 80490 and 80498.

Prime Factorization of 80490

Prime Factorization of 80498

Now multiplying the highest exponent prime factors to calculate the LCM of 80490 and 80498.

LCM(80490,80498) = 2¹ × 3¹ × 5¹ × 2683¹ × 11¹ × 3659¹
LCM(80490,80498) = 3239642010