What is the Least Common Multiple of 5673 and 5685?

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 5673 and 5685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5673 and 5685, than apply into the LCM equation.

GCF(5673,5685) = 3
LCM(5673,5685) = ( 5673 × 5685) / 3
LCM(5673,5685) = 32251005 / 3
LCM(5673,5685) = 10750335

Least Common Multiple (LCM) of 5673 and 5685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5673 and 5685. First we will calculate the prime factors of 5673 and 5685.

Prime Factorization of 5673

Prime Factorization of 5685

Now multiplying the highest exponent prime factors to calculate the LCM of 5673 and 5685.

LCM(5673,5685) = 3¹ × 31¹ × 61¹ × 5¹ × 379¹
LCM(5673,5685) = 10750335