What is the Least Common Multiple of 27588 and 27592?
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 27588 and 27592 is 190302024.
LCM(27588,27592) = 190302024
Least Common Multiple of 27588 and 27592 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27588 and 27592, than apply into the LCM equation.
GCF(27588,27592) = 4
LCM(27588,27592) = ( 27588 × 27592) / 4
LCM(27588,27592) = 761208096 / 4
LCM(27588,27592) = 190302024
Least Common Multiple (LCM) of 27588 and 27592 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27588 and 27592. First we will calculate the prime factors of 27588 and 27592.
Prime Factorization of 27588
Prime factors of 27588 are 2, 3, 11, 19. Prime factorization of 27588 in exponential form is:
27588 = 22 × 31 × 112 × 191
Prime Factorization of 27592
Prime factors of 27592 are 2, 3449. Prime factorization of 27592 in exponential form is:
27592 = 23 × 34491
Now multiplying the highest exponent prime factors to calculate the LCM of 27588 and 27592.
LCM(27588,27592) = 23 × 31 × 112 × 191 × 34491
LCM(27588,27592) = 190302024
Related Least Common Multiples of 27588
- LCM of 27588 and 27592
- LCM of 27588 and 27593
- LCM of 27588 and 27594
- LCM of 27588 and 27595
- LCM of 27588 and 27596
- LCM of 27588 and 27597
- LCM of 27588 and 27598
- LCM of 27588 and 27599
- LCM of 27588 and 27600
- LCM of 27588 and 27601
- LCM of 27588 and 27602
- LCM of 27588 and 27603
- LCM of 27588 and 27604
- LCM of 27588 and 27605
- LCM of 27588 and 27606
- LCM of 27588 and 27607
- LCM of 27588 and 27608
Related Least Common Multiples of 27592
- LCM of 27592 and 27596
- LCM of 27592 and 27597
- LCM of 27592 and 27598
- LCM of 27592 and 27599
- LCM of 27592 and 27600
- LCM of 27592 and 27601
- LCM of 27592 and 27602
- LCM of 27592 and 27603
- LCM of 27592 and 27604
- LCM of 27592 and 27605
- LCM of 27592 and 27606
- LCM of 27592 and 27607
- LCM of 27592 and 27608
- LCM of 27592 and 27609
- LCM of 27592 and 27610
- LCM of 27592 and 27611
- LCM of 27592 and 27612