What is the Least Common Multiple of 24878 and 24893?

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 24878 and 24893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24878 and 24893, than apply into the LCM equation.

GCF(24878,24893) = 1
LCM(24878,24893) = ( 24878 × 24893) / 1
LCM(24878,24893) = 619288054 / 1
LCM(24878,24893) = 619288054

Least Common Multiple (LCM) of 24878 and 24893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24878 and 24893. First we will calculate the prime factors of 24878 and 24893.

Prime Factorization of 24878

Prime Factorization of 24893

Now multiplying the highest exponent prime factors to calculate the LCM of 24878 and 24893.

LCM(24878,24893) = 2¹ × 7¹ × 1777¹ × 11¹ × 31¹ × 73¹
LCM(24878,24893) = 619288054