What is the Least Common Multiple of 8613 and 8633?
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 8613 and 8633 is 74356029.
LCM(8613,8633) = 74356029
Least Common Multiple of 8613 and 8633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8613 and 8633, than apply into the LCM equation.
GCF(8613,8633) = 1
LCM(8613,8633) = ( 8613 × 8633) / 1
LCM(8613,8633) = 74356029 / 1
LCM(8613,8633) = 74356029
Least Common Multiple (LCM) of 8613 and 8633 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8613 and 8633. First we will calculate the prime factors of 8613 and 8633.
Prime Factorization of 8613
Prime factors of 8613 are 3, 11, 29. Prime factorization of 8613 in exponential form is:
8613 = 33 × 111 × 291
Prime Factorization of 8633
Prime factors of 8633 are 89, 97. Prime factorization of 8633 in exponential form is:
8633 = 891 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 8613 and 8633.
LCM(8613,8633) = 33 × 111 × 291 × 891 × 971
LCM(8613,8633) = 74356029
Related Least Common Multiples of 8613
- LCM of 8613 and 8617
- LCM of 8613 and 8618
- LCM of 8613 and 8619
- LCM of 8613 and 8620
- LCM of 8613 and 8621
- LCM of 8613 and 8622
- LCM of 8613 and 8623
- LCM of 8613 and 8624
- LCM of 8613 and 8625
- LCM of 8613 and 8626
- LCM of 8613 and 8627
- LCM of 8613 and 8628
- LCM of 8613 and 8629
- LCM of 8613 and 8630
- LCM of 8613 and 8631
- LCM of 8613 and 8632
- LCM of 8613 and 8633
Related Least Common Multiples of 8633
- LCM of 8633 and 8637
- LCM of 8633 and 8638
- LCM of 8633 and 8639
- LCM of 8633 and 8640
- LCM of 8633 and 8641
- LCM of 8633 and 8642
- LCM of 8633 and 8643
- LCM of 8633 and 8644
- LCM of 8633 and 8645
- LCM of 8633 and 8646
- LCM of 8633 and 8647
- LCM of 8633 and 8648
- LCM of 8633 and 8649
- LCM of 8633 and 8650
- LCM of 8633 and 8651
- LCM of 8633 and 8652
- LCM of 8633 and 8653