What is the Least Common Multiple of 8294 and 8300?
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 8294 and 8300 is 34420100.
LCM(8294,8300) = 34420100
Least Common Multiple of 8294 and 8300 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8294 and 8300, than apply into the LCM equation.
GCF(8294,8300) = 2
LCM(8294,8300) = ( 8294 × 8300) / 2
LCM(8294,8300) = 68840200 / 2
LCM(8294,8300) = 34420100
Least Common Multiple (LCM) of 8294 and 8300 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8294 and 8300. First we will calculate the prime factors of 8294 and 8300.
Prime Factorization of 8294
Prime factors of 8294 are 2, 11, 13, 29. Prime factorization of 8294 in exponential form is:
8294 = 21 × 111 × 131 × 291
Prime Factorization of 8300
Prime factors of 8300 are 2, 5, 83. Prime factorization of 8300 in exponential form is:
8300 = 22 × 52 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 8294 and 8300.
LCM(8294,8300) = 22 × 111 × 131 × 291 × 52 × 831
LCM(8294,8300) = 34420100
Related Least Common Multiples of 8294
- LCM of 8294 and 8298
- LCM of 8294 and 8299
- LCM of 8294 and 8300
- LCM of 8294 and 8301
- LCM of 8294 and 8302
- LCM of 8294 and 8303
- LCM of 8294 and 8304
- LCM of 8294 and 8305
- LCM of 8294 and 8306
- LCM of 8294 and 8307
- LCM of 8294 and 8308
- LCM of 8294 and 8309
- LCM of 8294 and 8310
- LCM of 8294 and 8311
- LCM of 8294 and 8312
- LCM of 8294 and 8313
- LCM of 8294 and 8314
Related Least Common Multiples of 8300
- LCM of 8300 and 8304
- LCM of 8300 and 8305
- LCM of 8300 and 8306
- LCM of 8300 and 8307
- LCM of 8300 and 8308
- LCM of 8300 and 8309
- LCM of 8300 and 8310
- LCM of 8300 and 8311
- LCM of 8300 and 8312
- LCM of 8300 and 8313
- LCM of 8300 and 8314
- LCM of 8300 and 8315
- LCM of 8300 and 8316
- LCM of 8300 and 8317
- LCM of 8300 and 8318
- LCM of 8300 and 8319
- LCM of 8300 and 8320