What is the Least Common Multiple of 29943 and 29949?

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 29943 and 29949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29943 and 29949, than apply into the LCM equation.

GCF(29943,29949) = 3
LCM(29943,29949) = ( 29943 × 29949) / 3
LCM(29943,29949) = 896762907 / 3
LCM(29943,29949) = 298920969

Least Common Multiple (LCM) of 29943 and 29949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29943 and 29949. First we will calculate the prime factors of 29943 and 29949.

Prime Factorization of 29943

Prime Factorization of 29949

Now multiplying the highest exponent prime factors to calculate the LCM of 29943 and 29949.

LCM(29943,29949) = 3³ × 1109¹ × 67¹ × 149¹
LCM(29943,29949) = 298920969