What is the Least Common Multiple of 48874 and 48893?

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 48874 and 48893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48874 and 48893, than apply into the LCM equation.

GCF(48874,48893) = 1
LCM(48874,48893) = ( 48874 × 48893) / 1
LCM(48874,48893) = 2389596482 / 1
LCM(48874,48893) = 2389596482

Least Common Multiple (LCM) of 48874 and 48893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48874 and 48893. First we will calculate the prime factors of 48874 and 48893.

Prime Factorization of 48874

Prime Factorization of 48893

Now multiplying the highest exponent prime factors to calculate the LCM of 48874 and 48893.

LCM(48874,48893) = 2¹ × 7¹ × 3491¹ × 13¹ × 3761¹
LCM(48874,48893) = 2389596482