What is the Least Common Multiple of 68252 and 68258?

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 68252 and 68258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68252 and 68258, than apply into the LCM equation.

GCF(68252,68258) = 2
LCM(68252,68258) = ( 68252 × 68258) / 2
LCM(68252,68258) = 4658745016 / 2
LCM(68252,68258) = 2329372508

Least Common Multiple (LCM) of 68252 and 68258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68252 and 68258. First we will calculate the prime factors of 68252 and 68258.

Prime Factorization of 68252

Prime Factorization of 68258

Now multiplying the highest exponent prime factors to calculate the LCM of 68252 and 68258.

LCM(68252,68258) = 2² × 113¹ × 151¹ × 34129¹
LCM(68252,68258) = 2329372508