What is the Least Common Multiple of 57874 and 57884?

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 57874 and 57884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57874 and 57884, than apply into the LCM equation.

GCF(57874,57884) = 2
LCM(57874,57884) = ( 57874 × 57884) / 2
LCM(57874,57884) = 3349978616 / 2
LCM(57874,57884) = 1674989308

Least Common Multiple (LCM) of 57874 and 57884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57874 and 57884. First we will calculate the prime factors of 57874 and 57884.

Prime Factorization of 57874

Prime Factorization of 57884

Now multiplying the highest exponent prime factors to calculate the LCM of 57874 and 57884.

LCM(57874,57884) = 2² × 19¹ × 1523¹ × 29¹ × 499¹
LCM(57874,57884) = 1674989308