What is the Least Common Multiple of 76824 and 76835?
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 76835 is 536615640.
LCM(76824,76835) = 536615640
Least Common Multiple of 76824 and 76835 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 76835, than apply into the LCM equation.
GCF(76824,76835) = 11
LCM(76824,76835) = ( 76824 × 76835) / 11
LCM(76824,76835) = 5902772040 / 11
LCM(76824,76835) = 536615640
Least Common Multiple (LCM) of 76824 and 76835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76824 and 76835. First we will calculate the prime factors of 76824 and 76835.
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 76835
Prime factors of 76835 are 5, 11, 127. Prime factorization of 76835 in exponential form is:
76835 = 51 × 112 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 76824 and 76835.
LCM(76824,76835) = 23 × 32 × 112 × 971 × 51 × 1271
LCM(76824,76835) = 536615640
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 76835
- LCM of 76835 and 76839
- LCM of 76835 and 76840
- LCM of 76835 and 76841
- LCM of 76835 and 76842
- LCM of 76835 and 76843
- LCM of 76835 and 76844
- LCM of 76835 and 76845
- LCM of 76835 and 76846
- LCM of 76835 and 76847
- LCM of 76835 and 76848
- LCM of 76835 and 76849
- LCM of 76835 and 76850
- LCM of 76835 and 76851
- LCM of 76835 and 76852
- LCM of 76835 and 76853
- LCM of 76835 and 76854
- LCM of 76835 and 76855