What is the Least Common Multiple of 5590 and 5608?
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 5590 and 5608 is 15674360.
LCM(5590,5608) = 15674360
Least Common Multiple of 5590 and 5608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5590 and 5608, than apply into the LCM equation.
GCF(5590,5608) = 2
LCM(5590,5608) = ( 5590 × 5608) / 2
LCM(5590,5608) = 31348720 / 2
LCM(5590,5608) = 15674360
Least Common Multiple (LCM) of 5590 and 5608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5590 and 5608. First we will calculate the prime factors of 5590 and 5608.
Prime Factorization of 5590
Prime factors of 5590 are 2, 5, 13, 43. Prime factorization of 5590 in exponential form is:
5590 = 21 × 51 × 131 × 431
Prime Factorization of 5608
Prime factors of 5608 are 2, 701. Prime factorization of 5608 in exponential form is:
5608 = 23 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 5590 and 5608.
LCM(5590,5608) = 23 × 51 × 131 × 431 × 7011
LCM(5590,5608) = 15674360
Related Least Common Multiples of 5590
- LCM of 5590 and 5594
- LCM of 5590 and 5595
- LCM of 5590 and 5596
- LCM of 5590 and 5597
- LCM of 5590 and 5598
- LCM of 5590 and 5599
- LCM of 5590 and 5600
- LCM of 5590 and 5601
- LCM of 5590 and 5602
- LCM of 5590 and 5603
- LCM of 5590 and 5604
- LCM of 5590 and 5605
- LCM of 5590 and 5606
- LCM of 5590 and 5607
- LCM of 5590 and 5608
- LCM of 5590 and 5609
- LCM of 5590 and 5610
Related Least Common Multiples of 5608
- LCM of 5608 and 5612
- LCM of 5608 and 5613
- LCM of 5608 and 5614
- LCM of 5608 and 5615
- LCM of 5608 and 5616
- LCM of 5608 and 5617
- LCM of 5608 and 5618
- LCM of 5608 and 5619
- LCM of 5608 and 5620
- LCM of 5608 and 5621
- LCM of 5608 and 5622
- LCM of 5608 and 5623
- LCM of 5608 and 5624
- LCM of 5608 and 5625
- LCM of 5608 and 5626
- LCM of 5608 and 5627
- LCM of 5608 and 5628