What is the Least Common Multiple of 18390 and 18396?
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 18390 and 18396 is 56383740.
LCM(18390,18396) = 56383740
Least Common Multiple of 18390 and 18396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18390 and 18396, than apply into the LCM equation.
GCF(18390,18396) = 6
LCM(18390,18396) = ( 18390 × 18396) / 6
LCM(18390,18396) = 338302440 / 6
LCM(18390,18396) = 56383740
Least Common Multiple (LCM) of 18390 and 18396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18390 and 18396. First we will calculate the prime factors of 18390 and 18396.
Prime Factorization of 18390
Prime factors of 18390 are 2, 3, 5, 613. Prime factorization of 18390 in exponential form is:
18390 = 21 × 31 × 51 × 6131
Prime Factorization of 18396
Prime factors of 18396 are 2, 3, 7, 73. Prime factorization of 18396 in exponential form is:
18396 = 22 × 32 × 71 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 18390 and 18396.
LCM(18390,18396) = 22 × 32 × 51 × 6131 × 71 × 731
LCM(18390,18396) = 56383740
Related Least Common Multiples of 18390
- LCM of 18390 and 18394
- LCM of 18390 and 18395
- LCM of 18390 and 18396
- LCM of 18390 and 18397
- LCM of 18390 and 18398
- LCM of 18390 and 18399
- LCM of 18390 and 18400
- LCM of 18390 and 18401
- LCM of 18390 and 18402
- LCM of 18390 and 18403
- LCM of 18390 and 18404
- LCM of 18390 and 18405
- LCM of 18390 and 18406
- LCM of 18390 and 18407
- LCM of 18390 and 18408
- LCM of 18390 and 18409
- LCM of 18390 and 18410
Related Least Common Multiples of 18396
- LCM of 18396 and 18400
- LCM of 18396 and 18401
- LCM of 18396 and 18402
- LCM of 18396 and 18403
- LCM of 18396 and 18404
- LCM of 18396 and 18405
- LCM of 18396 and 18406
- LCM of 18396 and 18407
- LCM of 18396 and 18408
- LCM of 18396 and 18409
- LCM of 18396 and 18410
- LCM of 18396 and 18411
- LCM of 18396 and 18412
- LCM of 18396 and 18413
- LCM of 18396 and 18414
- LCM of 18396 and 18415
- LCM of 18396 and 18416