What is the Least Common Multiple of 20688 and 20696?

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 20688 and 20696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20688 and 20696, than apply into the LCM equation.

GCF(20688,20696) = 8
LCM(20688,20696) = ( 20688 × 20696) / 8
LCM(20688,20696) = 428158848 / 8
LCM(20688,20696) = 53519856

Least Common Multiple (LCM) of 20688 and 20696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20688 and 20696. First we will calculate the prime factors of 20688 and 20696.

Prime Factorization of 20688

Prime Factorization of 20696

Now multiplying the highest exponent prime factors to calculate the LCM of 20688 and 20696.

LCM(20688,20696) = 2⁴ × 3¹ × 431¹ × 13¹ × 199¹
LCM(20688,20696) = 53519856