What is the Least Common Multiple of 6756 and 6765?

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 6756 and 6765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6756 and 6765, than apply into the LCM equation.

GCF(6756,6765) = 3
LCM(6756,6765) = ( 6756 × 6765) / 3
LCM(6756,6765) = 45704340 / 3
LCM(6756,6765) = 15234780

Least Common Multiple (LCM) of 6756 and 6765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6756 and 6765. First we will calculate the prime factors of 6756 and 6765.

Prime Factorization of 6756

Prime Factorization of 6765

Now multiplying the highest exponent prime factors to calculate the LCM of 6756 and 6765.

LCM(6756,6765) = 2² × 3¹ × 563¹ × 5¹ × 11¹ × 41¹
LCM(6756,6765) = 15234780