What is the Least Common Multiple of 8576 and 8587?
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 8576 and 8587 is 73642112.
LCM(8576,8587) = 73642112
Least Common Multiple of 8576 and 8587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8576 and 8587, than apply into the LCM equation.
GCF(8576,8587) = 1
LCM(8576,8587) = ( 8576 × 8587) / 1
LCM(8576,8587) = 73642112 / 1
LCM(8576,8587) = 73642112
Least Common Multiple (LCM) of 8576 and 8587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8576 and 8587. First we will calculate the prime factors of 8576 and 8587.
Prime Factorization of 8576
Prime factors of 8576 are 2, 67. Prime factorization of 8576 in exponential form is:
8576 = 27 × 671
Prime Factorization of 8587
Prime factors of 8587 are 31, 277. Prime factorization of 8587 in exponential form is:
8587 = 311 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 8576 and 8587.
LCM(8576,8587) = 27 × 671 × 311 × 2771
LCM(8576,8587) = 73642112
Related Least Common Multiples of 8576
- LCM of 8576 and 8580
- LCM of 8576 and 8581
- LCM of 8576 and 8582
- LCM of 8576 and 8583
- LCM of 8576 and 8584
- LCM of 8576 and 8585
- LCM of 8576 and 8586
- LCM of 8576 and 8587
- LCM of 8576 and 8588
- LCM of 8576 and 8589
- LCM of 8576 and 8590
- LCM of 8576 and 8591
- LCM of 8576 and 8592
- LCM of 8576 and 8593
- LCM of 8576 and 8594
- LCM of 8576 and 8595
- LCM of 8576 and 8596
Related Least Common Multiples of 8587
- LCM of 8587 and 8591
- LCM of 8587 and 8592
- LCM of 8587 and 8593
- LCM of 8587 and 8594
- LCM of 8587 and 8595
- LCM of 8587 and 8596
- LCM of 8587 and 8597
- LCM of 8587 and 8598
- LCM of 8587 and 8599
- LCM of 8587 and 8600
- LCM of 8587 and 8601
- LCM of 8587 and 8602
- LCM of 8587 and 8603
- LCM of 8587 and 8604
- LCM of 8587 and 8605
- LCM of 8587 and 8606
- LCM of 8587 and 8607