What is the Least Common Multiple of 5742 and 5758?
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 5742 and 5758 is 16531218.
LCM(5742,5758) = 16531218
Least Common Multiple of 5742 and 5758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5742 and 5758, than apply into the LCM equation.
GCF(5742,5758) = 2
LCM(5742,5758) = ( 5742 × 5758) / 2
LCM(5742,5758) = 33062436 / 2
LCM(5742,5758) = 16531218
Least Common Multiple (LCM) of 5742 and 5758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5742 and 5758. First we will calculate the prime factors of 5742 and 5758.
Prime Factorization of 5742
Prime factors of 5742 are 2, 3, 11, 29. Prime factorization of 5742 in exponential form is:
5742 = 21 × 32 × 111 × 291
Prime Factorization of 5758
Prime factors of 5758 are 2, 2879. Prime factorization of 5758 in exponential form is:
5758 = 21 × 28791
Now multiplying the highest exponent prime factors to calculate the LCM of 5742 and 5758.
LCM(5742,5758) = 21 × 32 × 111 × 291 × 28791
LCM(5742,5758) = 16531218
Related Least Common Multiples of 5742
- LCM of 5742 and 5746
- LCM of 5742 and 5747
- LCM of 5742 and 5748
- LCM of 5742 and 5749
- LCM of 5742 and 5750
- LCM of 5742 and 5751
- LCM of 5742 and 5752
- LCM of 5742 and 5753
- LCM of 5742 and 5754
- LCM of 5742 and 5755
- LCM of 5742 and 5756
- LCM of 5742 and 5757
- LCM of 5742 and 5758
- LCM of 5742 and 5759
- LCM of 5742 and 5760
- LCM of 5742 and 5761
- LCM of 5742 and 5762
Related Least Common Multiples of 5758
- LCM of 5758 and 5762
- LCM of 5758 and 5763
- LCM of 5758 and 5764
- LCM of 5758 and 5765
- LCM of 5758 and 5766
- LCM of 5758 and 5767
- LCM of 5758 and 5768
- LCM of 5758 and 5769
- LCM of 5758 and 5770
- LCM of 5758 and 5771
- LCM of 5758 and 5772
- LCM of 5758 and 5773
- LCM of 5758 and 5774
- LCM of 5758 and 5775
- LCM of 5758 and 5776
- LCM of 5758 and 5777
- LCM of 5758 and 5778