What is the Least Common Multiple of 56669 and 56688?
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 56669 and 56688 is 3212452272.
LCM(56669,56688) = 3212452272
Least Common Multiple of 56669 and 56688 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56669 and 56688, than apply into the LCM equation.
GCF(56669,56688) = 1
LCM(56669,56688) = ( 56669 × 56688) / 1
LCM(56669,56688) = 3212452272 / 1
LCM(56669,56688) = 3212452272
Least Common Multiple (LCM) of 56669 and 56688 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56669 and 56688. First we will calculate the prime factors of 56669 and 56688.
Prime Factorization of 56669
Prime factors of 56669 are 61, 929. Prime factorization of 56669 in exponential form is:
56669 = 611 × 9291
Prime Factorization of 56688
Prime factors of 56688 are 2, 3, 1181. Prime factorization of 56688 in exponential form is:
56688 = 24 × 31 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 56669 and 56688.
LCM(56669,56688) = 611 × 9291 × 24 × 31 × 11811
LCM(56669,56688) = 3212452272
Related Least Common Multiples of 56669
- LCM of 56669 and 56673
- LCM of 56669 and 56674
- LCM of 56669 and 56675
- LCM of 56669 and 56676
- LCM of 56669 and 56677
- LCM of 56669 and 56678
- LCM of 56669 and 56679
- LCM of 56669 and 56680
- LCM of 56669 and 56681
- LCM of 56669 and 56682
- LCM of 56669 and 56683
- LCM of 56669 and 56684
- LCM of 56669 and 56685
- LCM of 56669 and 56686
- LCM of 56669 and 56687
- LCM of 56669 and 56688
- LCM of 56669 and 56689
Related Least Common Multiples of 56688
- LCM of 56688 and 56692
- LCM of 56688 and 56693
- LCM of 56688 and 56694
- LCM of 56688 and 56695
- LCM of 56688 and 56696
- LCM of 56688 and 56697
- LCM of 56688 and 56698
- LCM of 56688 and 56699
- LCM of 56688 and 56700
- LCM of 56688 and 56701
- LCM of 56688 and 56702
- LCM of 56688 and 56703
- LCM of 56688 and 56704
- LCM of 56688 and 56705
- LCM of 56688 and 56706
- LCM of 56688 and 56707
- LCM of 56688 and 56708