What is the Least Common Multiple of 2165 and 2170?
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 2165 and 2170 is 939610.
LCM(2165,2170) = 939610
Least Common Multiple of 2165 and 2170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2165 and 2170, than apply into the LCM equation.
GCF(2165,2170) = 5
LCM(2165,2170) = ( 2165 × 2170) / 5
LCM(2165,2170) = 4698050 / 5
LCM(2165,2170) = 939610
Least Common Multiple (LCM) of 2165 and 2170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2170. First we will calculate the prime factors of 2165 and 2170.
Prime Factorization of 2165
Prime factors of 2165 are 5, 433. Prime factorization of 2165 in exponential form is:
2165 = 51 × 4331
Prime Factorization of 2170
Prime factors of 2170 are 2, 5, 7, 31. Prime factorization of 2170 in exponential form is:
2170 = 21 × 51 × 71 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 2165 and 2170.
LCM(2165,2170) = 51 × 4331 × 21 × 71 × 311
LCM(2165,2170) = 939610
Related Least Common Multiples of 2165
- LCM of 2165 and 2169
- LCM of 2165 and 2170
- LCM of 2165 and 2171
- LCM of 2165 and 2172
- LCM of 2165 and 2173
- LCM of 2165 and 2174
- LCM of 2165 and 2175
- LCM of 2165 and 2176
- LCM of 2165 and 2177
- LCM of 2165 and 2178
- LCM of 2165 and 2179
- LCM of 2165 and 2180
- LCM of 2165 and 2181
- LCM of 2165 and 2182
- LCM of 2165 and 2183
- LCM of 2165 and 2184
- LCM of 2165 and 2185
Related Least Common Multiples of 2170
- LCM of 2170 and 2174
- LCM of 2170 and 2175
- LCM of 2170 and 2176
- LCM of 2170 and 2177
- LCM of 2170 and 2178
- LCM of 2170 and 2179
- LCM of 2170 and 2180
- LCM of 2170 and 2181
- LCM of 2170 and 2182
- LCM of 2170 and 2183
- LCM of 2170 and 2184
- LCM of 2170 and 2185
- LCM of 2170 and 2186
- LCM of 2170 and 2187
- LCM of 2170 and 2188
- LCM of 2170 and 2189
- LCM of 2170 and 2190