What is the Least Common Multiple of 17076 and 17086?

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 17076 and 17086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17076 and 17086, than apply into the LCM equation.

GCF(17076,17086) = 2
LCM(17076,17086) = ( 17076 × 17086) / 2
LCM(17076,17086) = 291760536 / 2
LCM(17076,17086) = 145880268

Least Common Multiple (LCM) of 17076 and 17086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17076 and 17086. First we will calculate the prime factors of 17076 and 17086.

Prime Factorization of 17076

Prime Factorization of 17086

Now multiplying the highest exponent prime factors to calculate the LCM of 17076 and 17086.

LCM(17076,17086) = 2² × 3¹ × 1423¹ × 8543¹
LCM(17076,17086) = 145880268