What is the Least Common Multiple of 5675 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 5675 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 5675 and 5680, than apply into the LCM equation.

GCF(5675,5680) = 5
LCM(5675,5680) = ( 5675 × 5680) / 5
LCM(5675,5680) = 32234000 / 5
LCM(5675,5680) = 6446800

Least Common Multiple (LCM) of 5675 and 5680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5675 and 5680. First we will calculate the prime factors of 5675 and 5680.

Prime Factorization of 5675

Prime Factorization of 5680

Now multiplying the highest exponent prime factors to calculate the LCM of 5675 and 5680.

LCM(5675,5680) = 5² × 227¹ × 2⁴ × 71¹
LCM(5675,5680) = 6446800