What is the Least Common Multiple of 29376 and 29380?

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 29376 and 29380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29376 and 29380, than apply into the LCM equation.

GCF(29376,29380) = 4
LCM(29376,29380) = ( 29376 × 29380) / 4
LCM(29376,29380) = 863066880 / 4
LCM(29376,29380) = 215766720

Least Common Multiple (LCM) of 29376 and 29380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29376 and 29380. First we will calculate the prime factors of 29376 and 29380.

Prime Factorization of 29376

Prime Factorization of 29380

Now multiplying the highest exponent prime factors to calculate the LCM of 29376 and 29380.

LCM(29376,29380) = 2⁶ × 3³ × 17¹ × 5¹ × 13¹ × 113¹
LCM(29376,29380) = 215766720