What is the Least Common Multiple of 48959 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 48959 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 48959 and 48968, than apply into the LCM equation.

GCF(48959,48968) = 1
LCM(48959,48968) = ( 48959 × 48968) / 1
LCM(48959,48968) = 2397424312 / 1
LCM(48959,48968) = 2397424312

Least Common Multiple (LCM) of 48959 and 48968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48959 and 48968. First we will calculate the prime factors of 48959 and 48968.

Prime Factorization of 48959

Prime Factorization of 48968

Now multiplying the highest exponent prime factors to calculate the LCM of 48959 and 48968.

LCM(48959,48968) = 173¹ × 283¹ × 2³ × 6121¹
LCM(48959,48968) = 2397424312