What is the Least Common Multiple of 3796 and 3814?
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 3796 and 3814 is 7238972.
LCM(3796,3814) = 7238972
Least Common Multiple of 3796 and 3814 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3796 and 3814, than apply into the LCM equation.
GCF(3796,3814) = 2
LCM(3796,3814) = ( 3796 × 3814) / 2
LCM(3796,3814) = 14477944 / 2
LCM(3796,3814) = 7238972
Least Common Multiple (LCM) of 3796 and 3814 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3796 and 3814. First we will calculate the prime factors of 3796 and 3814.
Prime Factorization of 3796
Prime factors of 3796 are 2, 13, 73. Prime factorization of 3796 in exponential form is:
3796 = 22 × 131 × 731
Prime Factorization of 3814
Prime factors of 3814 are 2, 1907. Prime factorization of 3814 in exponential form is:
3814 = 21 × 19071
Now multiplying the highest exponent prime factors to calculate the LCM of 3796 and 3814.
LCM(3796,3814) = 22 × 131 × 731 × 19071
LCM(3796,3814) = 7238972
Related Least Common Multiples of 3796
- LCM of 3796 and 3800
- LCM of 3796 and 3801
- LCM of 3796 and 3802
- LCM of 3796 and 3803
- LCM of 3796 and 3804
- LCM of 3796 and 3805
- LCM of 3796 and 3806
- LCM of 3796 and 3807
- LCM of 3796 and 3808
- LCM of 3796 and 3809
- LCM of 3796 and 3810
- LCM of 3796 and 3811
- LCM of 3796 and 3812
- LCM of 3796 and 3813
- LCM of 3796 and 3814
- LCM of 3796 and 3815
- LCM of 3796 and 3816
Related Least Common Multiples of 3814
- LCM of 3814 and 3818
- LCM of 3814 and 3819
- LCM of 3814 and 3820
- LCM of 3814 and 3821
- LCM of 3814 and 3822
- LCM of 3814 and 3823
- LCM of 3814 and 3824
- LCM of 3814 and 3825
- LCM of 3814 and 3826
- LCM of 3814 and 3827
- LCM of 3814 and 3828
- LCM of 3814 and 3829
- LCM of 3814 and 3830
- LCM of 3814 and 3831
- LCM of 3814 and 3832
- LCM of 3814 and 3833
- LCM of 3814 and 3834