GCF and LCM Calculator Logo

What is the Least Common Multiple of 29367 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 (LCM) of 29367 and 29380 is 66369420.

LCM(29367,29380) = 66369420

LCM Calculator and
and

Least Common Multiple of 29367 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 29367 and 29380, than apply into the LCM equation.

GCF(29367,29380) = 13
LCM(29367,29380) = ( 29367 × 29380) / 13
LCM(29367,29380) = 862802460 / 13
LCM(29367,29380) = 66369420

Least Common Multiple (LCM) of 29367 and 29380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29367 and 29380. First we will calculate the prime factors of 29367 and 29380.

Prime Factorization of 29367

Prime factors of 29367 are 3, 13, 251. Prime factorization of 29367 in exponential form is:

29367 = 32 × 131 × 2511

Prime Factorization of 29380

Prime factors of 29380 are 2, 5, 13, 113. Prime factorization of 29380 in exponential form is:

29380 = 22 × 51 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 29367 and 29380.

LCM(29367,29380) = 32 × 131 × 2511 × 22 × 51 × 1131
LCM(29367,29380) = 66369420