What is the Least Common Multiple of 13641 and 13651?
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 13641 and 13651 is 186213291.
LCM(13641,13651) = 186213291
Least Common Multiple of 13641 and 13651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13641 and 13651, than apply into the LCM equation.
GCF(13641,13651) = 1
LCM(13641,13651) = ( 13641 × 13651) / 1
LCM(13641,13651) = 186213291 / 1
LCM(13641,13651) = 186213291
Least Common Multiple (LCM) of 13641 and 13651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13641 and 13651. First we will calculate the prime factors of 13641 and 13651.
Prime Factorization of 13641
Prime factors of 13641 are 3, 4547. Prime factorization of 13641 in exponential form is:
13641 = 31 × 45471
Prime Factorization of 13651
Prime factors of 13651 are 11, 17, 73. Prime factorization of 13651 in exponential form is:
13651 = 111 × 171 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 13641 and 13651.
LCM(13641,13651) = 31 × 45471 × 111 × 171 × 731
LCM(13641,13651) = 186213291
Related Least Common Multiples of 13641
- LCM of 13641 and 13645
- LCM of 13641 and 13646
- LCM of 13641 and 13647
- LCM of 13641 and 13648
- LCM of 13641 and 13649
- LCM of 13641 and 13650
- LCM of 13641 and 13651
- LCM of 13641 and 13652
- LCM of 13641 and 13653
- LCM of 13641 and 13654
- LCM of 13641 and 13655
- LCM of 13641 and 13656
- LCM of 13641 and 13657
- LCM of 13641 and 13658
- LCM of 13641 and 13659
- LCM of 13641 and 13660
- LCM of 13641 and 13661
Related Least Common Multiples of 13651
- LCM of 13651 and 13655
- LCM of 13651 and 13656
- LCM of 13651 and 13657
- LCM of 13651 and 13658
- LCM of 13651 and 13659
- LCM of 13651 and 13660
- LCM of 13651 and 13661
- LCM of 13651 and 13662
- LCM of 13651 and 13663
- LCM of 13651 and 13664
- LCM of 13651 and 13665
- LCM of 13651 and 13666
- LCM of 13651 and 13667
- LCM of 13651 and 13668
- LCM of 13651 and 13669
- LCM of 13651 and 13670
- LCM of 13651 and 13671