What is the Least Common Multiple of 57952 and 57969?

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 57952 and 57969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57952 and 57969, than apply into the LCM equation.

GCF(57952,57969) = 1
LCM(57952,57969) = ( 57952 × 57969) / 1
LCM(57952,57969) = 3359419488 / 1
LCM(57952,57969) = 3359419488

Least Common Multiple (LCM) of 57952 and 57969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57952 and 57969. First we will calculate the prime factors of 57952 and 57969.

Prime Factorization of 57952

Prime Factorization of 57969

Now multiplying the highest exponent prime factors to calculate the LCM of 57952 and 57969.

LCM(57952,57969) = 2⁵ × 1811¹ × 3³ × 19¹ × 113¹
LCM(57952,57969) = 3359419488