What is the Least Common Multiple of 80780 and 80785?

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 80785 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 80785, than apply into the LCM equation.

GCF(80780,80785) = 5
LCM(80780,80785) = ( 80780 × 80785) / 5
LCM(80780,80785) = 6525812300 / 5
LCM(80780,80785) = 1305162460

Least Common Multiple (LCM) of 80780 and 80785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80780 and 80785. First we will calculate the prime factors of 80780 and 80785.

Prime Factorization of 80780

Prime Factorization of 80785

Now multiplying the highest exponent prime factors to calculate the LCM of 80780 and 80785.

LCM(80780,80785) = 2² × 5¹ × 7¹ × 577¹ × 107¹ × 151¹
LCM(80780,80785) = 1305162460