What is the Least Common Multiple of 17054 and 17062?

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 17054 and 17062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17054 and 17062, than apply into the LCM equation.

GCF(17054,17062) = 2
LCM(17054,17062) = ( 17054 × 17062) / 2
LCM(17054,17062) = 290975348 / 2
LCM(17054,17062) = 145487674

Least Common Multiple (LCM) of 17054 and 17062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17054 and 17062. First we will calculate the prime factors of 17054 and 17062.

Prime Factorization of 17054

Prime Factorization of 17062

Now multiplying the highest exponent prime factors to calculate the LCM of 17054 and 17062.

LCM(17054,17062) = 2¹ × 8527¹ × 19¹ × 449¹
LCM(17054,17062) = 145487674