What is the Least Common Multiple of 15930 and 15935?

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 15930 and 15935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15930 and 15935, than apply into the LCM equation.

GCF(15930,15935) = 5
LCM(15930,15935) = ( 15930 × 15935) / 5
LCM(15930,15935) = 253844550 / 5
LCM(15930,15935) = 50768910

Least Common Multiple (LCM) of 15930 and 15935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15930 and 15935. First we will calculate the prime factors of 15930 and 15935.

Prime Factorization of 15930

Prime Factorization of 15935

Now multiplying the highest exponent prime factors to calculate the LCM of 15930 and 15935.

LCM(15930,15935) = 2¹ × 3³ × 5¹ × 59¹ × 3187¹
LCM(15930,15935) = 50768910