What is the Least Common Multiple of 35207 and 35226?

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 35207 and 35226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35207 and 35226, than apply into the LCM equation.

GCF(35207,35226) = 19
LCM(35207,35226) = ( 35207 × 35226) / 19
LCM(35207,35226) = 1240201782 / 19
LCM(35207,35226) = 65273778

Least Common Multiple (LCM) of 35207 and 35226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35207 and 35226. First we will calculate the prime factors of 35207 and 35226.

Prime Factorization of 35207

Prime Factorization of 35226

Now multiplying the highest exponent prime factors to calculate the LCM of 35207 and 35226.

LCM(35207,35226) = 17¹ × 19¹ × 109¹ × 2¹ × 3² × 103¹
LCM(35207,35226) = 65273778