What is the Least Common Multiple of 8609 and 8614?
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 8609 and 8614 is 74157926.
LCM(8609,8614) = 74157926
Least Common Multiple of 8609 and 8614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8609 and 8614, than apply into the LCM equation.
GCF(8609,8614) = 1
LCM(8609,8614) = ( 8609 × 8614) / 1
LCM(8609,8614) = 74157926 / 1
LCM(8609,8614) = 74157926
Least Common Multiple (LCM) of 8609 and 8614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8609 and 8614. First we will calculate the prime factors of 8609 and 8614.
Prime Factorization of 8609
Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:
8609 = 86091
Prime Factorization of 8614
Prime factors of 8614 are 2, 59, 73. Prime factorization of 8614 in exponential form is:
8614 = 21 × 591 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 8609 and 8614.
LCM(8609,8614) = 86091 × 21 × 591 × 731
LCM(8609,8614) = 74157926
Related Least Common Multiples of 8609
- LCM of 8609 and 8613
- LCM of 8609 and 8614
- LCM of 8609 and 8615
- LCM of 8609 and 8616
- LCM of 8609 and 8617
- LCM of 8609 and 8618
- LCM of 8609 and 8619
- LCM of 8609 and 8620
- LCM of 8609 and 8621
- LCM of 8609 and 8622
- LCM of 8609 and 8623
- LCM of 8609 and 8624
- LCM of 8609 and 8625
- LCM of 8609 and 8626
- LCM of 8609 and 8627
- LCM of 8609 and 8628
- LCM of 8609 and 8629
Related Least Common Multiples of 8614
- LCM of 8614 and 8618
- LCM of 8614 and 8619
- LCM of 8614 and 8620
- LCM of 8614 and 8621
- LCM of 8614 and 8622
- LCM of 8614 and 8623
- LCM of 8614 and 8624
- LCM of 8614 and 8625
- LCM of 8614 and 8626
- LCM of 8614 and 8627
- LCM of 8614 and 8628
- LCM of 8614 and 8629
- LCM of 8614 and 8630
- LCM of 8614 and 8631
- LCM of 8614 and 8632
- LCM of 8614 and 8633
- LCM of 8614 and 8634