What is the Least Common Multiple of 76824 and 76843?
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 76824 and 76843 is 5903386632.
LCM(76824,76843) = 5903386632
Least Common Multiple of 76824 and 76843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76824 and 76843, than apply into the LCM equation.
GCF(76824,76843) = 1
LCM(76824,76843) = ( 76824 × 76843) / 1
LCM(76824,76843) = 5903386632 / 1
LCM(76824,76843) = 5903386632
Least Common Multiple (LCM) of 76824 and 76843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76824 and 76843. First we will calculate the prime factors of 76824 and 76843.
Prime Factorization of 76824
Prime factors of 76824 are 2, 3, 11, 97. Prime factorization of 76824 in exponential form is:
76824 = 23 × 32 × 111 × 971
Prime Factorization of 76843
Prime factors of 76843 are 13, 23, 257. Prime factorization of 76843 in exponential form is:
76843 = 131 × 231 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 76824 and 76843.
LCM(76824,76843) = 23 × 32 × 111 × 971 × 131 × 231 × 2571
LCM(76824,76843) = 5903386632
Related Least Common Multiples of 76824
- LCM of 76824 and 76828
- LCM of 76824 and 76829
- LCM of 76824 and 76830
- LCM of 76824 and 76831
- LCM of 76824 and 76832
- LCM of 76824 and 76833
- LCM of 76824 and 76834
- LCM of 76824 and 76835
- LCM of 76824 and 76836
- LCM of 76824 and 76837
- LCM of 76824 and 76838
- LCM of 76824 and 76839
- LCM of 76824 and 76840
- LCM of 76824 and 76841
- LCM of 76824 and 76842
- LCM of 76824 and 76843
- LCM of 76824 and 76844
Related Least Common Multiples of 76843
- LCM of 76843 and 76847
- LCM of 76843 and 76848
- LCM of 76843 and 76849
- LCM of 76843 and 76850
- LCM of 76843 and 76851
- LCM of 76843 and 76852
- LCM of 76843 and 76853
- LCM of 76843 and 76854
- LCM of 76843 and 76855
- LCM of 76843 and 76856
- LCM of 76843 and 76857
- LCM of 76843 and 76858
- LCM of 76843 and 76859
- LCM of 76843 and 76860
- LCM of 76843 and 76861
- LCM of 76843 and 76862
- LCM of 76843 and 76863