What is the Least Common Multiple of 29544 and 29552?
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 29544 and 29552 is 109135536.
LCM(29544,29552) = 109135536
Least Common Multiple of 29544 and 29552 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29544 and 29552, than apply into the LCM equation.
GCF(29544,29552) = 8
LCM(29544,29552) = ( 29544 × 29552) / 8
LCM(29544,29552) = 873084288 / 8
LCM(29544,29552) = 109135536
Least Common Multiple (LCM) of 29544 and 29552 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29544 and 29552. First we will calculate the prime factors of 29544 and 29552.
Prime Factorization of 29544
Prime factors of 29544 are 2, 3, 1231. Prime factorization of 29544 in exponential form is:
29544 = 23 × 31 × 12311
Prime Factorization of 29552
Prime factors of 29552 are 2, 1847. Prime factorization of 29552 in exponential form is:
29552 = 24 × 18471
Now multiplying the highest exponent prime factors to calculate the LCM of 29544 and 29552.
LCM(29544,29552) = 24 × 31 × 12311 × 18471
LCM(29544,29552) = 109135536
Related Least Common Multiples of 29544
- LCM of 29544 and 29548
- LCM of 29544 and 29549
- LCM of 29544 and 29550
- LCM of 29544 and 29551
- LCM of 29544 and 29552
- LCM of 29544 and 29553
- LCM of 29544 and 29554
- LCM of 29544 and 29555
- LCM of 29544 and 29556
- LCM of 29544 and 29557
- LCM of 29544 and 29558
- LCM of 29544 and 29559
- LCM of 29544 and 29560
- LCM of 29544 and 29561
- LCM of 29544 and 29562
- LCM of 29544 and 29563
- LCM of 29544 and 29564
Related Least Common Multiples of 29552
- LCM of 29552 and 29556
- LCM of 29552 and 29557
- LCM of 29552 and 29558
- LCM of 29552 and 29559
- LCM of 29552 and 29560
- LCM of 29552 and 29561
- LCM of 29552 and 29562
- LCM of 29552 and 29563
- LCM of 29552 and 29564
- LCM of 29552 and 29565
- LCM of 29552 and 29566
- LCM of 29552 and 29567
- LCM of 29552 and 29568
- LCM of 29552 and 29569
- LCM of 29552 and 29570
- LCM of 29552 and 29571
- LCM of 29552 and 29572