What is the Least Common Multiple of 29968 and 29982?

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 29968 and 29982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29968 and 29982, than apply into the LCM equation.

GCF(29968,29982) = 2
LCM(29968,29982) = ( 29968 × 29982) / 2
LCM(29968,29982) = 898500576 / 2
LCM(29968,29982) = 449250288

Least Common Multiple (LCM) of 29968 and 29982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29968 and 29982. First we will calculate the prime factors of 29968 and 29982.

Prime Factorization of 29968

Prime Factorization of 29982

Now multiplying the highest exponent prime factors to calculate the LCM of 29968 and 29982.

LCM(29968,29982) = 2⁴ × 1873¹ × 3¹ × 19¹ × 263¹
LCM(29968,29982) = 449250288