What is the Least Common Multiple of 17216 and 17236?

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 17216 and 17236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17216 and 17236, than apply into the LCM equation.

GCF(17216,17236) = 4
LCM(17216,17236) = ( 17216 × 17236) / 4
LCM(17216,17236) = 296734976 / 4
LCM(17216,17236) = 74183744

Least Common Multiple (LCM) of 17216 and 17236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17216 and 17236. First we will calculate the prime factors of 17216 and 17236.

Prime Factorization of 17216

Prime Factorization of 17236

Now multiplying the highest exponent prime factors to calculate the LCM of 17216 and 17236.

LCM(17216,17236) = 2⁶ × 269¹ × 31¹ × 139¹
LCM(17216,17236) = 74183744