What is the Least Common Multiple of 15920 and 15939?

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 15920 and 15939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15920 and 15939, than apply into the LCM equation.

GCF(15920,15939) = 1
LCM(15920,15939) = ( 15920 × 15939) / 1
LCM(15920,15939) = 253748880 / 1
LCM(15920,15939) = 253748880

Least Common Multiple (LCM) of 15920 and 15939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15920 and 15939. First we will calculate the prime factors of 15920 and 15939.

Prime Factorization of 15920

Prime Factorization of 15939

Now multiplying the highest exponent prime factors to calculate the LCM of 15920 and 15939.

LCM(15920,15939) = 2⁴ × 5¹ × 199¹ × 3² × 7¹ × 11¹ × 23¹
LCM(15920,15939) = 253748880