What is the Least Common Multiple of 29733 and 29745?

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 29733 and 29745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29733 and 29745, than apply into the LCM equation.

GCF(29733,29745) = 3
LCM(29733,29745) = ( 29733 × 29745) / 3
LCM(29733,29745) = 884408085 / 3
LCM(29733,29745) = 294802695

Least Common Multiple (LCM) of 29733 and 29745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29733 and 29745. First we will calculate the prime factors of 29733 and 29745.

Prime Factorization of 29733

Prime Factorization of 29745

Now multiplying the highest exponent prime factors to calculate the LCM of 29733 and 29745.

LCM(29733,29745) = 3² × 11¹ × 17¹ × 53¹ × 5¹ × 661¹
LCM(29733,29745) = 294802695