What is the Least Common Multiple of 5698 and 5710?

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 5698 and 5710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5698 and 5710, than apply into the LCM equation.

GCF(5698,5710) = 2
LCM(5698,5710) = ( 5698 × 5710) / 2
LCM(5698,5710) = 32535580 / 2
LCM(5698,5710) = 16267790

Least Common Multiple (LCM) of 5698 and 5710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5698 and 5710. First we will calculate the prime factors of 5698 and 5710.

Prime Factorization of 5698

Prime Factorization of 5710

Now multiplying the highest exponent prime factors to calculate the LCM of 5698 and 5710.

LCM(5698,5710) = 2¹ × 7¹ × 11¹ × 37¹ × 5¹ × 571¹
LCM(5698,5710) = 16267790