What is the Least Common Multiple of 56674 and 56689?

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 56674 and 56689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56674 and 56689, than apply into the LCM equation.

GCF(56674,56689) = 1
LCM(56674,56689) = ( 56674 × 56689) / 1
LCM(56674,56689) = 3212792386 / 1
LCM(56674,56689) = 3212792386

Least Common Multiple (LCM) of 56674 and 56689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56674 and 56689. First we will calculate the prime factors of 56674 and 56689.

Prime Factorization of 56674

Prime Factorization of 56689

Now multiplying the highest exponent prime factors to calculate the LCM of 56674 and 56689.

LCM(56674,56689) = 2¹ × 43¹ × 659¹ × 83¹ × 683¹
LCM(56674,56689) = 3212792386