What is the Least Common Multiple of 6880 and 6885?

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 6880 and 6885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6880 and 6885, than apply into the LCM equation.

GCF(6880,6885) = 5
LCM(6880,6885) = ( 6880 × 6885) / 5
LCM(6880,6885) = 47368800 / 5
LCM(6880,6885) = 9473760

Least Common Multiple (LCM) of 6880 and 6885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6880 and 6885. First we will calculate the prime factors of 6880 and 6885.

Prime Factorization of 6880

Prime Factorization of 6885

Now multiplying the highest exponent prime factors to calculate the LCM of 6880 and 6885.

LCM(6880,6885) = 2⁵ × 5¹ × 43¹ × 3⁴ × 17¹
LCM(6880,6885) = 9473760