What is the Least Common Multiple of 29457 and 29475?

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 29457 and 29475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29457 and 29475, than apply into the LCM equation.

GCF(29457,29475) = 9
LCM(29457,29475) = ( 29457 × 29475) / 9
LCM(29457,29475) = 868245075 / 9
LCM(29457,29475) = 96471675

Least Common Multiple (LCM) of 29457 and 29475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29457 and 29475. First we will calculate the prime factors of 29457 and 29475.

Prime Factorization of 29457

Prime Factorization of 29475

Now multiplying the highest exponent prime factors to calculate the LCM of 29457 and 29475.

LCM(29457,29475) = 3³ × 1091¹ × 5² × 131¹
LCM(29457,29475) = 96471675