What is the Least Common Multiple of 29346 and 29352?

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 29346 and 29352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29346 and 29352, than apply into the LCM equation.

GCF(29346,29352) = 6
LCM(29346,29352) = ( 29346 × 29352) / 6
LCM(29346,29352) = 861363792 / 6
LCM(29346,29352) = 143560632

Least Common Multiple (LCM) of 29346 and 29352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29346 and 29352. First we will calculate the prime factors of 29346 and 29352.

Prime Factorization of 29346

Prime Factorization of 29352

Now multiplying the highest exponent prime factors to calculate the LCM of 29346 and 29352.

LCM(29346,29352) = 2³ × 3¹ × 67¹ × 73¹ × 1223¹
LCM(29346,29352) = 143560632