What is the Least Common Multiple of 29226 and 29235?

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 29226 and 29235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29226 and 29235, than apply into the LCM equation.

GCF(29226,29235) = 3
LCM(29226,29235) = ( 29226 × 29235) / 3
LCM(29226,29235) = 854422110 / 3
LCM(29226,29235) = 284807370

Least Common Multiple (LCM) of 29226 and 29235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29226 and 29235. First we will calculate the prime factors of 29226 and 29235.

Prime Factorization of 29226

Prime Factorization of 29235

Now multiplying the highest exponent prime factors to calculate the LCM of 29226 and 29235.

LCM(29226,29235) = 2¹ × 3¹ × 4871¹ × 5¹ × 1949¹
LCM(29226,29235) = 284807370