What is the Least Common Multiple of 48242 and 48248?

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 48242 and 48248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48242 and 48248, than apply into the LCM equation.

GCF(48242,48248) = 2
LCM(48242,48248) = ( 48242 × 48248) / 2
LCM(48242,48248) = 2327580016 / 2
LCM(48242,48248) = 1163790008

Least Common Multiple (LCM) of 48242 and 48248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48242 and 48248. First we will calculate the prime factors of 48242 and 48248.

Prime Factorization of 48242

Prime Factorization of 48248

Now multiplying the highest exponent prime factors to calculate the LCM of 48242 and 48248.

LCM(48242,48248) = 2³ × 24121¹ × 37¹ × 163¹
LCM(48242,48248) = 1163790008