What is the Least Common Multiple of 17101 and 17108?

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 17101 and 17108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17101 and 17108, than apply into the LCM equation.

GCF(17101,17108) = 7
LCM(17101,17108) = ( 17101 × 17108) / 7
LCM(17101,17108) = 292563908 / 7
LCM(17101,17108) = 41794844

Least Common Multiple (LCM) of 17101 and 17108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17101 and 17108. First we will calculate the prime factors of 17101 and 17108.

Prime Factorization of 17101

Prime Factorization of 17108

Now multiplying the highest exponent prime factors to calculate the LCM of 17101 and 17108.

LCM(17101,17108) = 7² × 349¹ × 2² × 13¹ × 47¹
LCM(17101,17108) = 41794844