What is the Least Common Multiple of 17120 and 17126?

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 17120 and 17126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17120 and 17126, than apply into the LCM equation.

GCF(17120,17126) = 2
LCM(17120,17126) = ( 17120 × 17126) / 2
LCM(17120,17126) = 293197120 / 2
LCM(17120,17126) = 146598560

Least Common Multiple (LCM) of 17120 and 17126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17120 and 17126. First we will calculate the prime factors of 17120 and 17126.

Prime Factorization of 17120

Prime Factorization of 17126

Now multiplying the highest exponent prime factors to calculate the LCM of 17120 and 17126.

LCM(17120,17126) = 2⁵ × 5¹ × 107¹ × 8563¹
LCM(17120,17126) = 146598560