What is the Least Common Multiple of 29436 and 29440?
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 29436 and 29440 is 216648960.
LCM(29436,29440) = 216648960
Least Common Multiple of 29436 and 29440 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29436 and 29440, than apply into the LCM equation.
GCF(29436,29440) = 4
LCM(29436,29440) = ( 29436 × 29440) / 4
LCM(29436,29440) = 866595840 / 4
LCM(29436,29440) = 216648960
Least Common Multiple (LCM) of 29436 and 29440 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29436 and 29440. First we will calculate the prime factors of 29436 and 29440.
Prime Factorization of 29436
Prime factors of 29436 are 2, 3, 11, 223. Prime factorization of 29436 in exponential form is:
29436 = 22 × 31 × 111 × 2231
Prime Factorization of 29440
Prime factors of 29440 are 2, 5, 23. Prime factorization of 29440 in exponential form is:
29440 = 28 × 51 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 29436 and 29440.
LCM(29436,29440) = 28 × 31 × 111 × 2231 × 51 × 231
LCM(29436,29440) = 216648960
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