What is the Least Common Multiple of 29745 and 29755?

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 29745 and 29755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29745 and 29755, than apply into the LCM equation.

GCF(29745,29755) = 5
LCM(29745,29755) = ( 29745 × 29755) / 5
LCM(29745,29755) = 885062475 / 5
LCM(29745,29755) = 177012495

Least Common Multiple (LCM) of 29745 and 29755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29745 and 29755. First we will calculate the prime factors of 29745 and 29755.

Prime Factorization of 29745

Prime Factorization of 29755

Now multiplying the highest exponent prime factors to calculate the LCM of 29745 and 29755.

LCM(29745,29755) = 3² × 5¹ × 661¹ × 11¹ × 541¹
LCM(29745,29755) = 177012495