What is the Least Common Multiple of 35100 and 35106?

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 35100 and 35106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35100 and 35106, than apply into the LCM equation.

GCF(35100,35106) = 6
LCM(35100,35106) = ( 35100 × 35106) / 6
LCM(35100,35106) = 1232220600 / 6
LCM(35100,35106) = 205370100

Least Common Multiple (LCM) of 35100 and 35106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35100 and 35106. First we will calculate the prime factors of 35100 and 35106.

Prime Factorization of 35100

Prime Factorization of 35106

Now multiplying the highest exponent prime factors to calculate the LCM of 35100 and 35106.

LCM(35100,35106) = 2² × 3³ × 5² × 13¹ × 5851¹
LCM(35100,35106) = 205370100