What is the Least Common Multiple of 10780 and 10785?

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 10780 and 10785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10780 and 10785, than apply into the LCM equation.

GCF(10780,10785) = 5
LCM(10780,10785) = ( 10780 × 10785) / 5
LCM(10780,10785) = 116262300 / 5
LCM(10780,10785) = 23252460

Least Common Multiple (LCM) of 10780 and 10785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10780 and 10785. First we will calculate the prime factors of 10780 and 10785.

Prime Factorization of 10780

Prime Factorization of 10785

Now multiplying the highest exponent prime factors to calculate the LCM of 10780 and 10785.

LCM(10780,10785) = 2² × 5¹ × 7² × 11¹ × 3¹ × 719¹
LCM(10780,10785) = 23252460