What is the Least Common Multiple of 17100 and 17106?

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 17100 and 17106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17100 and 17106, than apply into the LCM equation.

GCF(17100,17106) = 6
LCM(17100,17106) = ( 17100 × 17106) / 6
LCM(17100,17106) = 292512600 / 6
LCM(17100,17106) = 48752100

Least Common Multiple (LCM) of 17100 and 17106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17100 and 17106. First we will calculate the prime factors of 17100 and 17106.

Prime Factorization of 17100

Prime Factorization of 17106

Now multiplying the highest exponent prime factors to calculate the LCM of 17100 and 17106.

LCM(17100,17106) = 2² × 3² × 5² × 19¹ × 2851¹
LCM(17100,17106) = 48752100