What is the Least Common Multiple of 20696 and 20709?

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 20696 and 20709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20696 and 20709, than apply into the LCM equation.

GCF(20696,20709) = 13
LCM(20696,20709) = ( 20696 × 20709) / 13
LCM(20696,20709) = 428593464 / 13
LCM(20696,20709) = 32968728

Least Common Multiple (LCM) of 20696 and 20709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20696 and 20709. First we will calculate the prime factors of 20696 and 20709.

Prime Factorization of 20696

Prime Factorization of 20709

Now multiplying the highest exponent prime factors to calculate the LCM of 20696 and 20709.

LCM(20696,20709) = 2³ × 13¹ × 199¹ × 3³ × 59¹
LCM(20696,20709) = 32968728