What is the Least Common Multiple of 18405 and 18425?
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 18405 and 18425 is 67822425.
LCM(18405,18425) = 67822425
Least Common Multiple of 18405 and 18425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18405 and 18425, than apply into the LCM equation.
GCF(18405,18425) = 5
LCM(18405,18425) = ( 18405 × 18425) / 5
LCM(18405,18425) = 339112125 / 5
LCM(18405,18425) = 67822425
Least Common Multiple (LCM) of 18405 and 18425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18405 and 18425. First we will calculate the prime factors of 18405 and 18425.
Prime Factorization of 18405
Prime factors of 18405 are 3, 5, 409. Prime factorization of 18405 in exponential form is:
18405 = 32 × 51 × 4091
Prime Factorization of 18425
Prime factors of 18425 are 5, 11, 67. Prime factorization of 18425 in exponential form is:
18425 = 52 × 111 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 18405 and 18425.
LCM(18405,18425) = 32 × 52 × 4091 × 111 × 671
LCM(18405,18425) = 67822425
Related Least Common Multiples of 18405
- LCM of 18405 and 18409
- LCM of 18405 and 18410
- LCM of 18405 and 18411
- LCM of 18405 and 18412
- LCM of 18405 and 18413
- LCM of 18405 and 18414
- LCM of 18405 and 18415
- LCM of 18405 and 18416
- LCM of 18405 and 18417
- LCM of 18405 and 18418
- LCM of 18405 and 18419
- LCM of 18405 and 18420
- LCM of 18405 and 18421
- LCM of 18405 and 18422
- LCM of 18405 and 18423
- LCM of 18405 and 18424
- LCM of 18405 and 18425
Related Least Common Multiples of 18425
- LCM of 18425 and 18429
- LCM of 18425 and 18430
- LCM of 18425 and 18431
- LCM of 18425 and 18432
- LCM of 18425 and 18433
- LCM of 18425 and 18434
- LCM of 18425 and 18435
- LCM of 18425 and 18436
- LCM of 18425 and 18437
- LCM of 18425 and 18438
- LCM of 18425 and 18439
- LCM of 18425 and 18440
- LCM of 18425 and 18441
- LCM of 18425 and 18442
- LCM of 18425 and 18443
- LCM of 18425 and 18444
- LCM of 18425 and 18445