What is the Least Common Multiple of 17049 and 17064?

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 17049 and 17064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17049 and 17064, than apply into the LCM equation.

GCF(17049,17064) = 3
LCM(17049,17064) = ( 17049 × 17064) / 3
LCM(17049,17064) = 290924136 / 3
LCM(17049,17064) = 96974712

Least Common Multiple (LCM) of 17049 and 17064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17049 and 17064. First we will calculate the prime factors of 17049 and 17064.

Prime Factorization of 17049

Prime Factorization of 17064

Now multiplying the highest exponent prime factors to calculate the LCM of 17049 and 17064.

LCM(17049,17064) = 3³ × 5683¹ × 2³ × 79¹
LCM(17049,17064) = 96974712