What is the Least Common Multiple of 35226 and 35245?

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 35226 and 35245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35226 and 35245, than apply into the LCM equation.

GCF(35226,35245) = 19
LCM(35226,35245) = ( 35226 × 35245) / 19
LCM(35226,35245) = 1241540370 / 19
LCM(35226,35245) = 65344230

Least Common Multiple (LCM) of 35226 and 35245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35226 and 35245. First we will calculate the prime factors of 35226 and 35245.

Prime Factorization of 35226

Prime Factorization of 35245

Now multiplying the highest exponent prime factors to calculate the LCM of 35226 and 35245.

LCM(35226,35245) = 2¹ × 3² × 19¹ × 103¹ × 5¹ × 7¹ × 53¹
LCM(35226,35245) = 65344230