What is the Least Common Multiple of 56657 and 56669?

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 56657 and 56669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56657 and 56669, than apply into the LCM equation.

GCF(56657,56669) = 1
LCM(56657,56669) = ( 56657 × 56669) / 1
LCM(56657,56669) = 3210695533 / 1
LCM(56657,56669) = 3210695533

Least Common Multiple (LCM) of 56657 and 56669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56657 and 56669. First we will calculate the prime factors of 56657 and 56669.

Prime Factorization of 56657

Prime Factorization of 56669

Now multiplying the highest exponent prime factors to calculate the LCM of 56657 and 56669.

LCM(56657,56669) = 53¹ × 1069¹ × 61¹ × 929¹
LCM(56657,56669) = 3210695533