What is the Least Common Multiple of 5674 and 5680?

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 5674 and 5680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5674 and 5680, than apply into the LCM equation.

GCF(5674,5680) = 2
LCM(5674,5680) = ( 5674 × 5680) / 2
LCM(5674,5680) = 32228320 / 2
LCM(5674,5680) = 16114160

Least Common Multiple (LCM) of 5674 and 5680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5674 and 5680. First we will calculate the prime factors of 5674 and 5680.

Prime Factorization of 5674

Prime Factorization of 5680

Now multiplying the highest exponent prime factors to calculate the LCM of 5674 and 5680.

LCM(5674,5680) = 2⁴ × 2837¹ × 5¹ × 71¹
LCM(5674,5680) = 16114160