What is the Least Common Multiple of 18400 and 18404?
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 18400 and 18404 is 84658400.
LCM(18400,18404) = 84658400
Least Common Multiple of 18400 and 18404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18400 and 18404, than apply into the LCM equation.
GCF(18400,18404) = 4
LCM(18400,18404) = ( 18400 × 18404) / 4
LCM(18400,18404) = 338633600 / 4
LCM(18400,18404) = 84658400
Least Common Multiple (LCM) of 18400 and 18404 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18400 and 18404. First we will calculate the prime factors of 18400 and 18404.
Prime Factorization of 18400
Prime factors of 18400 are 2, 5, 23. Prime factorization of 18400 in exponential form is:
18400 = 25 × 52 × 231
Prime Factorization of 18404
Prime factors of 18404 are 2, 43, 107. Prime factorization of 18404 in exponential form is:
18404 = 22 × 431 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 18400 and 18404.
LCM(18400,18404) = 25 × 52 × 231 × 431 × 1071
LCM(18400,18404) = 84658400
Related Least Common Multiples of 18400
- LCM of 18400 and 18404
- LCM of 18400 and 18405
- LCM of 18400 and 18406
- LCM of 18400 and 18407
- LCM of 18400 and 18408
- LCM of 18400 and 18409
- LCM of 18400 and 18410
- LCM of 18400 and 18411
- LCM of 18400 and 18412
- LCM of 18400 and 18413
- LCM of 18400 and 18414
- LCM of 18400 and 18415
- LCM of 18400 and 18416
- LCM of 18400 and 18417
- LCM of 18400 and 18418
- LCM of 18400 and 18419
- LCM of 18400 and 18420
Related Least Common Multiples of 18404
- LCM of 18404 and 18408
- LCM of 18404 and 18409
- LCM of 18404 and 18410
- LCM of 18404 and 18411
- LCM of 18404 and 18412
- LCM of 18404 and 18413
- LCM of 18404 and 18414
- LCM of 18404 and 18415
- LCM of 18404 and 18416
- LCM of 18404 and 18417
- LCM of 18404 and 18418
- LCM of 18404 and 18419
- LCM of 18404 and 18420
- LCM of 18404 and 18421
- LCM of 18404 and 18422
- LCM of 18404 and 18423
- LCM of 18404 and 18424