What is the Least Common Multiple of 6875 and 6892?

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 6875 and 6892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6875 and 6892, than apply into the LCM equation.

GCF(6875,6892) = 1
LCM(6875,6892) = ( 6875 × 6892) / 1
LCM(6875,6892) = 47382500 / 1
LCM(6875,6892) = 47382500

Least Common Multiple (LCM) of 6875 and 6892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6875 and 6892. First we will calculate the prime factors of 6875 and 6892.

Prime Factorization of 6875

Prime Factorization of 6892

Now multiplying the highest exponent prime factors to calculate the LCM of 6875 and 6892.

LCM(6875,6892) = 5⁴ × 11¹ × 2² × 1723¹
LCM(6875,6892) = 47382500