What is the Least Common Multiple of 48649 and 48668?

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 48649 and 48668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48649 and 48668, than apply into the LCM equation.

GCF(48649,48668) = 1
LCM(48649,48668) = ( 48649 × 48668) / 1
LCM(48649,48668) = 2367649532 / 1
LCM(48649,48668) = 2367649532

Least Common Multiple (LCM) of 48649 and 48668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48649 and 48668. First we will calculate the prime factors of 48649 and 48668.

Prime Factorization of 48649

Prime Factorization of 48668

Now multiplying the highest exponent prime factors to calculate the LCM of 48649 and 48668.

LCM(48649,48668) = 48649¹ × 2² × 23³
LCM(48649,48668) = 2367649532