What is the Least Common Multiple of 29454 and 29472?

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 29454 and 29472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29454 and 29472, than apply into the LCM equation.

GCF(29454,29472) = 6
LCM(29454,29472) = ( 29454 × 29472) / 6
LCM(29454,29472) = 868068288 / 6
LCM(29454,29472) = 144678048

Least Common Multiple (LCM) of 29454 and 29472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29454 and 29472. First we will calculate the prime factors of 29454 and 29472.

Prime Factorization of 29454

Prime Factorization of 29472

Now multiplying the highest exponent prime factors to calculate the LCM of 29454 and 29472.

LCM(29454,29472) = 2⁵ × 3¹ × 4909¹ × 307¹
LCM(29454,29472) = 144678048