What is the Least Common Multiple of 8534 and 8546?
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 8534 and 8546 is 36465782.
LCM(8534,8546) = 36465782
Least Common Multiple of 8534 and 8546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8534 and 8546, than apply into the LCM equation.
GCF(8534,8546) = 2
LCM(8534,8546) = ( 8534 × 8546) / 2
LCM(8534,8546) = 72931564 / 2
LCM(8534,8546) = 36465782
Least Common Multiple (LCM) of 8534 and 8546 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8534 and 8546. First we will calculate the prime factors of 8534 and 8546.
Prime Factorization of 8534
Prime factors of 8534 are 2, 17, 251. Prime factorization of 8534 in exponential form is:
8534 = 21 × 171 × 2511
Prime Factorization of 8546
Prime factors of 8546 are 2, 4273. Prime factorization of 8546 in exponential form is:
8546 = 21 × 42731
Now multiplying the highest exponent prime factors to calculate the LCM of 8534 and 8546.
LCM(8534,8546) = 21 × 171 × 2511 × 42731
LCM(8534,8546) = 36465782
Related Least Common Multiples of 8534
- LCM of 8534 and 8538
- LCM of 8534 and 8539
- LCM of 8534 and 8540
- LCM of 8534 and 8541
- LCM of 8534 and 8542
- LCM of 8534 and 8543
- LCM of 8534 and 8544
- LCM of 8534 and 8545
- LCM of 8534 and 8546
- LCM of 8534 and 8547
- LCM of 8534 and 8548
- LCM of 8534 and 8549
- LCM of 8534 and 8550
- LCM of 8534 and 8551
- LCM of 8534 and 8552
- LCM of 8534 and 8553
- LCM of 8534 and 8554
Related Least Common Multiples of 8546
- LCM of 8546 and 8550
- LCM of 8546 and 8551
- LCM of 8546 and 8552
- LCM of 8546 and 8553
- LCM of 8546 and 8554
- LCM of 8546 and 8555
- LCM of 8546 and 8556
- LCM of 8546 and 8557
- LCM of 8546 and 8558
- LCM of 8546 and 8559
- LCM of 8546 and 8560
- LCM of 8546 and 8561
- LCM of 8546 and 8562
- LCM of 8546 and 8563
- LCM of 8546 and 8564
- LCM of 8546 and 8565
- LCM of 8546 and 8566