What is the Least Common Multiple of 4634 and 4649?
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 4634 and 4649 is 21543466.
LCM(4634,4649) = 21543466
Least Common Multiple of 4634 and 4649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4634 and 4649, than apply into the LCM equation.
GCF(4634,4649) = 1
LCM(4634,4649) = ( 4634 × 4649) / 1
LCM(4634,4649) = 21543466 / 1
LCM(4634,4649) = 21543466
Least Common Multiple (LCM) of 4634 and 4649 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4634 and 4649. First we will calculate the prime factors of 4634 and 4649.
Prime Factorization of 4634
Prime factors of 4634 are 2, 7, 331. Prime factorization of 4634 in exponential form is:
4634 = 21 × 71 × 3311
Prime Factorization of 4649
Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:
4649 = 46491
Now multiplying the highest exponent prime factors to calculate the LCM of 4634 and 4649.
LCM(4634,4649) = 21 × 71 × 3311 × 46491
LCM(4634,4649) = 21543466
Related Least Common Multiples of 4634
- LCM of 4634 and 4638
- LCM of 4634 and 4639
- LCM of 4634 and 4640
- LCM of 4634 and 4641
- LCM of 4634 and 4642
- LCM of 4634 and 4643
- LCM of 4634 and 4644
- LCM of 4634 and 4645
- LCM of 4634 and 4646
- LCM of 4634 and 4647
- LCM of 4634 and 4648
- LCM of 4634 and 4649
- LCM of 4634 and 4650
- LCM of 4634 and 4651
- LCM of 4634 and 4652
- LCM of 4634 and 4653
- LCM of 4634 and 4654
Related Least Common Multiples of 4649
- LCM of 4649 and 4653
- LCM of 4649 and 4654
- LCM of 4649 and 4655
- LCM of 4649 and 4656
- LCM of 4649 and 4657
- LCM of 4649 and 4658
- LCM of 4649 and 4659
- LCM of 4649 and 4660
- LCM of 4649 and 4661
- LCM of 4649 and 4662
- LCM of 4649 and 4663
- LCM of 4649 and 4664
- LCM of 4649 and 4665
- LCM of 4649 and 4666
- LCM of 4649 and 4667
- LCM of 4649 and 4668
- LCM of 4649 and 4669