What is the Least Common Multiple of 20264 and 20276?

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 20264 and 20276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20264 and 20276, than apply into the LCM equation.

GCF(20264,20276) = 4
LCM(20264,20276) = ( 20264 × 20276) / 4
LCM(20264,20276) = 410872864 / 4
LCM(20264,20276) = 102718216

Least Common Multiple (LCM) of 20264 and 20276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20264 and 20276. First we will calculate the prime factors of 20264 and 20276.

Prime Factorization of 20264

Prime Factorization of 20276

Now multiplying the highest exponent prime factors to calculate the LCM of 20264 and 20276.

LCM(20264,20276) = 2³ × 17¹ × 149¹ × 37¹ × 137¹
LCM(20264,20276) = 102718216