What is the Least Common Multiple of 11712 and 11721?
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 11712 and 11721 is 45758784.
LCM(11712,11721) = 45758784
Least Common Multiple of 11712 and 11721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11712 and 11721, than apply into the LCM equation.
GCF(11712,11721) = 3
LCM(11712,11721) = ( 11712 × 11721) / 3
LCM(11712,11721) = 137276352 / 3
LCM(11712,11721) = 45758784
Least Common Multiple (LCM) of 11712 and 11721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11712 and 11721. First we will calculate the prime factors of 11712 and 11721.
Prime Factorization of 11712
Prime factors of 11712 are 2, 3, 61. Prime factorization of 11712 in exponential form is:
11712 = 26 × 31 × 611
Prime Factorization of 11721
Prime factors of 11721 are 3, 3907. Prime factorization of 11721 in exponential form is:
11721 = 31 × 39071
Now multiplying the highest exponent prime factors to calculate the LCM of 11712 and 11721.
LCM(11712,11721) = 26 × 31 × 611 × 39071
LCM(11712,11721) = 45758784
Related Least Common Multiples of 11712
- LCM of 11712 and 11716
- LCM of 11712 and 11717
- LCM of 11712 and 11718
- LCM of 11712 and 11719
- LCM of 11712 and 11720
- LCM of 11712 and 11721
- LCM of 11712 and 11722
- LCM of 11712 and 11723
- LCM of 11712 and 11724
- LCM of 11712 and 11725
- LCM of 11712 and 11726
- LCM of 11712 and 11727
- LCM of 11712 and 11728
- LCM of 11712 and 11729
- LCM of 11712 and 11730
- LCM of 11712 and 11731
- LCM of 11712 and 11732
Related Least Common Multiples of 11721
- LCM of 11721 and 11725
- LCM of 11721 and 11726
- LCM of 11721 and 11727
- LCM of 11721 and 11728
- LCM of 11721 and 11729
- LCM of 11721 and 11730
- LCM of 11721 and 11731
- LCM of 11721 and 11732
- LCM of 11721 and 11733
- LCM of 11721 and 11734
- LCM of 11721 and 11735
- LCM of 11721 and 11736
- LCM of 11721 and 11737
- LCM of 11721 and 11738
- LCM of 11721 and 11739
- LCM of 11721 and 11740
- LCM of 11721 and 11741