What is the Least Common Multiple of 8500 and 8504?
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 8500 and 8504 is 18071000.
LCM(8500,8504) = 18071000
Least Common Multiple of 8500 and 8504 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8500 and 8504, than apply into the LCM equation.
GCF(8500,8504) = 4
LCM(8500,8504) = ( 8500 × 8504) / 4
LCM(8500,8504) = 72284000 / 4
LCM(8500,8504) = 18071000
Least Common Multiple (LCM) of 8500 and 8504 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8500 and 8504. First we will calculate the prime factors of 8500 and 8504.
Prime Factorization of 8500
Prime factors of 8500 are 2, 5, 17. Prime factorization of 8500 in exponential form is:
8500 = 22 × 53 × 171
Prime Factorization of 8504
Prime factors of 8504 are 2, 1063. Prime factorization of 8504 in exponential form is:
8504 = 23 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 8500 and 8504.
LCM(8500,8504) = 23 × 53 × 171 × 10631
LCM(8500,8504) = 18071000
Related Least Common Multiples of 8500
- LCM of 8500 and 8504
- LCM of 8500 and 8505
- LCM of 8500 and 8506
- LCM of 8500 and 8507
- LCM of 8500 and 8508
- LCM of 8500 and 8509
- LCM of 8500 and 8510
- LCM of 8500 and 8511
- LCM of 8500 and 8512
- LCM of 8500 and 8513
- LCM of 8500 and 8514
- LCM of 8500 and 8515
- LCM of 8500 and 8516
- LCM of 8500 and 8517
- LCM of 8500 and 8518
- LCM of 8500 and 8519
- LCM of 8500 and 8520
Related Least Common Multiples of 8504
- LCM of 8504 and 8508
- LCM of 8504 and 8509
- LCM of 8504 and 8510
- LCM of 8504 and 8511
- LCM of 8504 and 8512
- LCM of 8504 and 8513
- LCM of 8504 and 8514
- LCM of 8504 and 8515
- LCM of 8504 and 8516
- LCM of 8504 and 8517
- LCM of 8504 and 8518
- LCM of 8504 and 8519
- LCM of 8504 and 8520
- LCM of 8504 and 8521
- LCM of 8504 and 8522
- LCM of 8504 and 8523
- LCM of 8504 and 8524