What is the Least Common Multiple of 48958 and 48968?

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 48958 and 48968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48958 and 48968, than apply into the LCM equation.

GCF(48958,48968) = 2
LCM(48958,48968) = ( 48958 × 48968) / 2
LCM(48958,48968) = 2397375344 / 2
LCM(48958,48968) = 1198687672

Least Common Multiple (LCM) of 48958 and 48968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48958 and 48968. First we will calculate the prime factors of 48958 and 48968.

Prime Factorization of 48958

Prime Factorization of 48968

Now multiplying the highest exponent prime factors to calculate the LCM of 48958 and 48968.

LCM(48958,48968) = 2³ × 7¹ × 13¹ × 269¹ × 6121¹
LCM(48958,48968) = 1198687672