What is the Least Common Multiple of 48258 and 48276?

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 48258 and 48276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48258 and 48276, than apply into the LCM equation.

GCF(48258,48276) = 18
LCM(48258,48276) = ( 48258 × 48276) / 18
LCM(48258,48276) = 2329703208 / 18
LCM(48258,48276) = 129427956

Least Common Multiple (LCM) of 48258 and 48276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48258 and 48276. First we will calculate the prime factors of 48258 and 48276.

Prime Factorization of 48258

Prime Factorization of 48276

Now multiplying the highest exponent prime factors to calculate the LCM of 48258 and 48276.

LCM(48258,48276) = 2² × 3⁴ × 7¹ × 383¹ × 149¹
LCM(48258,48276) = 129427956