What is the Least Common Multiple of 6528 and 6542?
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 6528 and 6542 is 21353088.
LCM(6528,6542) = 21353088
Least Common Multiple of 6528 and 6542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6528 and 6542, than apply into the LCM equation.
GCF(6528,6542) = 2
LCM(6528,6542) = ( 6528 × 6542) / 2
LCM(6528,6542) = 42706176 / 2
LCM(6528,6542) = 21353088
Least Common Multiple (LCM) of 6528 and 6542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6528 and 6542. First we will calculate the prime factors of 6528 and 6542.
Prime Factorization of 6528
Prime factors of 6528 are 2, 3, 17. Prime factorization of 6528 in exponential form is:
6528 = 27 × 31 × 171
Prime Factorization of 6542
Prime factors of 6542 are 2, 3271. Prime factorization of 6542 in exponential form is:
6542 = 21 × 32711
Now multiplying the highest exponent prime factors to calculate the LCM of 6528 and 6542.
LCM(6528,6542) = 27 × 31 × 171 × 32711
LCM(6528,6542) = 21353088
Related Least Common Multiples of 6528
- LCM of 6528 and 6532
- LCM of 6528 and 6533
- LCM of 6528 and 6534
- LCM of 6528 and 6535
- LCM of 6528 and 6536
- LCM of 6528 and 6537
- LCM of 6528 and 6538
- LCM of 6528 and 6539
- LCM of 6528 and 6540
- LCM of 6528 and 6541
- LCM of 6528 and 6542
- LCM of 6528 and 6543
- LCM of 6528 and 6544
- LCM of 6528 and 6545
- LCM of 6528 and 6546
- LCM of 6528 and 6547
- LCM of 6528 and 6548
Related Least Common Multiples of 6542
- LCM of 6542 and 6546
- LCM of 6542 and 6547
- LCM of 6542 and 6548
- LCM of 6542 and 6549
- LCM of 6542 and 6550
- LCM of 6542 and 6551
- LCM of 6542 and 6552
- LCM of 6542 and 6553
- LCM of 6542 and 6554
- LCM of 6542 and 6555
- LCM of 6542 and 6556
- LCM of 6542 and 6557
- LCM of 6542 and 6558
- LCM of 6542 and 6559
- LCM of 6542 and 6560
- LCM of 6542 and 6561
- LCM of 6542 and 6562