What is the Least Common Multiple of 29370 and 29384?

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 29370 and 29384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29370 and 29384, than apply into the LCM equation.

GCF(29370,29384) = 2
LCM(29370,29384) = ( 29370 × 29384) / 2
LCM(29370,29384) = 863008080 / 2
LCM(29370,29384) = 431504040

Least Common Multiple (LCM) of 29370 and 29384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29370 and 29384. First we will calculate the prime factors of 29370 and 29384.

Prime Factorization of 29370

Prime Factorization of 29384

Now multiplying the highest exponent prime factors to calculate the LCM of 29370 and 29384.

LCM(29370,29384) = 2³ × 3¹ × 5¹ × 11¹ × 89¹ × 3673¹
LCM(29370,29384) = 431504040