What is the Least Common Multiple of 80592 and 80609?

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 80592 and 80609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80592 and 80609, than apply into the LCM equation.

GCF(80592,80609) = 1
LCM(80592,80609) = ( 80592 × 80609) / 1
LCM(80592,80609) = 6496440528 / 1
LCM(80592,80609) = 6496440528

Least Common Multiple (LCM) of 80592 and 80609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80592 and 80609. First we will calculate the prime factors of 80592 and 80609.

Prime Factorization of 80592

Prime Factorization of 80609

Now multiplying the highest exponent prime factors to calculate the LCM of 80592 and 80609.

LCM(80592,80609) = 2⁴ × 3¹ × 23¹ × 73¹ × 149¹ × 541¹
LCM(80592,80609) = 6496440528