What is the Least Common Multiple of 80659 and 80669?

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 80659 and 80669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80659 and 80669, than apply into the LCM equation.

GCF(80659,80669) = 1
LCM(80659,80669) = ( 80659 × 80669) / 1
LCM(80659,80669) = 6506680871 / 1
LCM(80659,80669) = 6506680871

Least Common Multiple (LCM) of 80659 and 80669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80659 and 80669. First we will calculate the prime factors of 80659 and 80669.

Prime Factorization of 80659

Prime Factorization of 80669

Now multiplying the highest exponent prime factors to calculate the LCM of 80659 and 80669.

LCM(80659,80669) = 79¹ × 1021¹ × 80669¹
LCM(80659,80669) = 6506680871