What is the Least Common Multiple of 29938 and 29954?

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 29938 and 29954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29938 and 29954, than apply into the LCM equation.

GCF(29938,29954) = 2
LCM(29938,29954) = ( 29938 × 29954) / 2
LCM(29938,29954) = 896762852 / 2
LCM(29938,29954) = 448381426

Least Common Multiple (LCM) of 29938 and 29954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29938 and 29954. First we will calculate the prime factors of 29938 and 29954.

Prime Factorization of 29938

Prime Factorization of 29954

Now multiplying the highest exponent prime factors to calculate the LCM of 29938 and 29954.

LCM(29938,29954) = 2¹ × 14969¹ × 17¹ × 881¹
LCM(29938,29954) = 448381426