What is the Least Common Multiple of 80476 and 80488?

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 80476 and 80488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80476 and 80488, than apply into the LCM equation.

GCF(80476,80488) = 4
LCM(80476,80488) = ( 80476 × 80488) / 4
LCM(80476,80488) = 6477352288 / 4
LCM(80476,80488) = 1619338072

Least Common Multiple (LCM) of 80476 and 80488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80476 and 80488. First we will calculate the prime factors of 80476 and 80488.

Prime Factorization of 80476

Prime Factorization of 80488

Now multiplying the highest exponent prime factors to calculate the LCM of 80476 and 80488.

LCM(80476,80488) = 2³ × 11¹ × 31¹ × 59¹ × 10061¹
LCM(80476,80488) = 1619338072