What is the Least Common Multiple of 29358 and 29376?

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 29358 and 29376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29358 and 29376, than apply into the LCM equation.

GCF(29358,29376) = 18
LCM(29358,29376) = ( 29358 × 29376) / 18
LCM(29358,29376) = 862420608 / 18
LCM(29358,29376) = 47912256

Least Common Multiple (LCM) of 29358 and 29376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29358 and 29376. First we will calculate the prime factors of 29358 and 29376.

Prime Factorization of 29358

Prime Factorization of 29376

Now multiplying the highest exponent prime factors to calculate the LCM of 29358 and 29376.

LCM(29358,29376) = 2⁶ × 3³ × 7¹ × 233¹ × 17¹
LCM(29358,29376) = 47912256