What is the Least Common Multiple of 20478 and 20496?

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 20478 and 20496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20478 and 20496, than apply into the LCM equation.

GCF(20478,20496) = 6
LCM(20478,20496) = ( 20478 × 20496) / 6
LCM(20478,20496) = 419717088 / 6
LCM(20478,20496) = 69952848

Least Common Multiple (LCM) of 20478 and 20496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20478 and 20496. First we will calculate the prime factors of 20478 and 20496.

Prime Factorization of 20478

Prime Factorization of 20496

Now multiplying the highest exponent prime factors to calculate the LCM of 20478 and 20496.

LCM(20478,20496) = 2⁴ × 3¹ × 3413¹ × 7¹ × 61¹
LCM(20478,20496) = 69952848