What is the Least Common Multiple of 56657 and 56674?

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 56674 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 56674, than apply into the LCM equation.

GCF(56657,56674) = 1
LCM(56657,56674) = ( 56657 × 56674) / 1
LCM(56657,56674) = 3210978818 / 1
LCM(56657,56674) = 3210978818

Least Common Multiple (LCM) of 56657 and 56674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56657 and 56674. First we will calculate the prime factors of 56657 and 56674.

Prime Factorization of 56657

Prime Factorization of 56674

Now multiplying the highest exponent prime factors to calculate the LCM of 56657 and 56674.

LCM(56657,56674) = 53¹ × 1069¹ × 2¹ × 43¹ × 659¹
LCM(56657,56674) = 3210978818