What is the Least Common Multiple of 20496 and 20514?

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 20496 and 20514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20496 and 20514, than apply into the LCM equation.

GCF(20496,20514) = 6
LCM(20496,20514) = ( 20496 × 20514) / 6
LCM(20496,20514) = 420454944 / 6
LCM(20496,20514) = 70075824

Least Common Multiple (LCM) of 20496 and 20514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20496 and 20514. First we will calculate the prime factors of 20496 and 20514.

Prime Factorization of 20496

Prime Factorization of 20514

Now multiplying the highest exponent prime factors to calculate the LCM of 20496 and 20514.

LCM(20496,20514) = 2⁴ × 3¹ × 7¹ × 61¹ × 13¹ × 263¹
LCM(20496,20514) = 70075824