What is the Least Common Multiple of 15980 and 15994?

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 15980 and 15994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15980 and 15994, than apply into the LCM equation.

GCF(15980,15994) = 2
LCM(15980,15994) = ( 15980 × 15994) / 2
LCM(15980,15994) = 255584120 / 2
LCM(15980,15994) = 127792060

Least Common Multiple (LCM) of 15980 and 15994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15980 and 15994. First we will calculate the prime factors of 15980 and 15994.

Prime Factorization of 15980

Prime Factorization of 15994

Now multiplying the highest exponent prime factors to calculate the LCM of 15980 and 15994.

LCM(15980,15994) = 2² × 5¹ × 17¹ × 47¹ × 11¹ × 727¹
LCM(15980,15994) = 127792060