What is the Least Common Multiple of 68275 and 68279?

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 68275 and 68279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68275 and 68279, than apply into the LCM equation.

GCF(68275,68279) = 1
LCM(68275,68279) = ( 68275 × 68279) / 1
LCM(68275,68279) = 4661748725 / 1
LCM(68275,68279) = 4661748725

Least Common Multiple (LCM) of 68275 and 68279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68275 and 68279. First we will calculate the prime factors of 68275 and 68279.

Prime Factorization of 68275

Prime Factorization of 68279

Now multiplying the highest exponent prime factors to calculate the LCM of 68275 and 68279.

LCM(68275,68279) = 5² × 2731¹ × 68279¹
LCM(68275,68279) = 4661748725