What is the Least Common Multiple of 57914 and 57927?

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 57914 and 57927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57914 and 57927, than apply into the LCM equation.

GCF(57914,57927) = 1
LCM(57914,57927) = ( 57914 × 57927) / 1
LCM(57914,57927) = 3354784278 / 1
LCM(57914,57927) = 3354784278

Least Common Multiple (LCM) of 57914 and 57927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57914 and 57927. First we will calculate the prime factors of 57914 and 57927.

Prime Factorization of 57914

Prime Factorization of 57927

Now multiplying the highest exponent prime factors to calculate the LCM of 57914 and 57927.

LCM(57914,57927) = 2¹ × 23¹ × 1259¹ × 3¹ × 19309¹
LCM(57914,57927) = 3354784278