What is the Least Common Multiple of 29946 and 29958?

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 29946 and 29958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29946 and 29958, than apply into the LCM equation.

GCF(29946,29958) = 6
LCM(29946,29958) = ( 29946 × 29958) / 6
LCM(29946,29958) = 897122268 / 6
LCM(29946,29958) = 149520378

Least Common Multiple (LCM) of 29946 and 29958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29946 and 29958. First we will calculate the prime factors of 29946 and 29958.

Prime Factorization of 29946

Prime Factorization of 29958

Now multiplying the highest exponent prime factors to calculate the LCM of 29946 and 29958.

LCM(29946,29958) = 2¹ × 3¹ × 7¹ × 23¹ × 31¹ × 4993¹
LCM(29946,29958) = 149520378