What is the Least Common Multiple of 9760 and 9776?
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 9760 and 9776 is 5963360.
LCM(9760,9776) = 5963360
Least Common Multiple of 9760 and 9776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9760 and 9776, than apply into the LCM equation.
GCF(9760,9776) = 16
LCM(9760,9776) = ( 9760 × 9776) / 16
LCM(9760,9776) = 95413760 / 16
LCM(9760,9776) = 5963360
Least Common Multiple (LCM) of 9760 and 9776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9760 and 9776. First we will calculate the prime factors of 9760 and 9776.
Prime Factorization of 9760
Prime factors of 9760 are 2, 5, 61. Prime factorization of 9760 in exponential form is:
9760 = 25 × 51 × 611
Prime Factorization of 9776
Prime factors of 9776 are 2, 13, 47. Prime factorization of 9776 in exponential form is:
9776 = 24 × 131 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 9760 and 9776.
LCM(9760,9776) = 25 × 51 × 611 × 131 × 471
LCM(9760,9776) = 5963360
Related Least Common Multiples of 9760
- LCM of 9760 and 9764
- LCM of 9760 and 9765
- LCM of 9760 and 9766
- LCM of 9760 and 9767
- LCM of 9760 and 9768
- LCM of 9760 and 9769
- LCM of 9760 and 9770
- LCM of 9760 and 9771
- LCM of 9760 and 9772
- LCM of 9760 and 9773
- LCM of 9760 and 9774
- LCM of 9760 and 9775
- LCM of 9760 and 9776
- LCM of 9760 and 9777
- LCM of 9760 and 9778
- LCM of 9760 and 9779
- LCM of 9760 and 9780
Related Least Common Multiples of 9776
- LCM of 9776 and 9780
- LCM of 9776 and 9781
- LCM of 9776 and 9782
- LCM of 9776 and 9783
- LCM of 9776 and 9784
- LCM of 9776 and 9785
- LCM of 9776 and 9786
- LCM of 9776 and 9787
- LCM of 9776 and 9788
- LCM of 9776 and 9789
- LCM of 9776 and 9790
- LCM of 9776 and 9791
- LCM of 9776 and 9792
- LCM of 9776 and 9793
- LCM of 9776 and 9794
- LCM of 9776 and 9795
- LCM of 9776 and 9796