What is the Least Common Multiple of 80780 and 80789?

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 80780 and 80789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80780 and 80789, than apply into the LCM equation.

GCF(80780,80789) = 1
LCM(80780,80789) = ( 80780 × 80789) / 1
LCM(80780,80789) = 6526135420 / 1
LCM(80780,80789) = 6526135420

Least Common Multiple (LCM) of 80780 and 80789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80780 and 80789. First we will calculate the prime factors of 80780 and 80789.

Prime Factorization of 80780

Prime Factorization of 80789

Now multiplying the highest exponent prime factors to calculate the LCM of 80780 and 80789.

LCM(80780,80789) = 2² × 5¹ × 7¹ × 577¹ × 80789¹
LCM(80780,80789) = 6526135420