What is the Least Common Multiple of 6870 and 6880?

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 6870 and 6880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6870 and 6880, than apply into the LCM equation.

GCF(6870,6880) = 10
LCM(6870,6880) = ( 6870 × 6880) / 10
LCM(6870,6880) = 47265600 / 10
LCM(6870,6880) = 4726560

Least Common Multiple (LCM) of 6870 and 6880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6870 and 6880. First we will calculate the prime factors of 6870 and 6880.

Prime Factorization of 6870

Prime Factorization of 6880

Now multiplying the highest exponent prime factors to calculate the LCM of 6870 and 6880.

LCM(6870,6880) = 2⁵ × 3¹ × 5¹ × 229¹ × 43¹
LCM(6870,6880) = 4726560