What is the Least Common Multiple of 57946 and 57954?

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 57946 and 57954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57946 and 57954, than apply into the LCM equation.

GCF(57946,57954) = 2
LCM(57946,57954) = ( 57946 × 57954) / 2
LCM(57946,57954) = 3358202484 / 2
LCM(57946,57954) = 1679101242

Least Common Multiple (LCM) of 57946 and 57954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57946 and 57954. First we will calculate the prime factors of 57946 and 57954.

Prime Factorization of 57946

Prime Factorization of 57954

Now multiplying the highest exponent prime factors to calculate the LCM of 57946 and 57954.

LCM(57946,57954) = 2¹ × 7¹ × 4139¹ × 3¹ × 13¹ × 743¹
LCM(57946,57954) = 1679101242