What is the Least Common Multiple of 68876 and 68893?

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 68876 and 68893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68876 and 68893, than apply into the LCM equation.

GCF(68876,68893) = 1
LCM(68876,68893) = ( 68876 × 68893) / 1
LCM(68876,68893) = 4745074268 / 1
LCM(68876,68893) = 4745074268

Least Common Multiple (LCM) of 68876 and 68893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68876 and 68893. First we will calculate the prime factors of 68876 and 68893.

Prime Factorization of 68876

Prime Factorization of 68893

Now multiplying the highest exponent prime factors to calculate the LCM of 68876 and 68893.

LCM(68876,68893) = 2² × 67¹ × 257¹ × 11¹ × 6263¹
LCM(68876,68893) = 4745074268