What is the Least Common Multiple of 6780 and 6785?

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 6780 and 6785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6780 and 6785, than apply into the LCM equation.

GCF(6780,6785) = 5
LCM(6780,6785) = ( 6780 × 6785) / 5
LCM(6780,6785) = 46002300 / 5
LCM(6780,6785) = 9200460

Least Common Multiple (LCM) of 6780 and 6785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6780 and 6785. First we will calculate the prime factors of 6780 and 6785.

Prime Factorization of 6780

Prime Factorization of 6785

Now multiplying the highest exponent prime factors to calculate the LCM of 6780 and 6785.

LCM(6780,6785) = 2² × 3¹ × 5¹ × 113¹ × 23¹ × 59¹
LCM(6780,6785) = 9200460