What is the Least Common Multiple of 16442 and 16461?
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 16442 and 16461 is 270651762.
LCM(16442,16461) = 270651762
Least Common Multiple of 16442 and 16461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16442 and 16461, than apply into the LCM equation.
GCF(16442,16461) = 1
LCM(16442,16461) = ( 16442 × 16461) / 1
LCM(16442,16461) = 270651762 / 1
LCM(16442,16461) = 270651762
Least Common Multiple (LCM) of 16442 and 16461 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16442 and 16461. First we will calculate the prime factors of 16442 and 16461.
Prime Factorization of 16442
Prime factors of 16442 are 2, 8221. Prime factorization of 16442 in exponential form is:
16442 = 21 × 82211
Prime Factorization of 16461
Prime factors of 16461 are 3, 31, 59. Prime factorization of 16461 in exponential form is:
16461 = 32 × 311 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 16442 and 16461.
LCM(16442,16461) = 21 × 82211 × 32 × 311 × 591
LCM(16442,16461) = 270651762
Related Least Common Multiples of 16442
- LCM of 16442 and 16446
- LCM of 16442 and 16447
- LCM of 16442 and 16448
- LCM of 16442 and 16449
- LCM of 16442 and 16450
- LCM of 16442 and 16451
- LCM of 16442 and 16452
- LCM of 16442 and 16453
- LCM of 16442 and 16454
- LCM of 16442 and 16455
- LCM of 16442 and 16456
- LCM of 16442 and 16457
- LCM of 16442 and 16458
- LCM of 16442 and 16459
- LCM of 16442 and 16460
- LCM of 16442 and 16461
- LCM of 16442 and 16462
Related Least Common Multiples of 16461
- LCM of 16461 and 16465
- LCM of 16461 and 16466
- LCM of 16461 and 16467
- LCM of 16461 and 16468
- LCM of 16461 and 16469
- LCM of 16461 and 16470
- LCM of 16461 and 16471
- LCM of 16461 and 16472
- LCM of 16461 and 16473
- LCM of 16461 and 16474
- LCM of 16461 and 16475
- LCM of 16461 and 16476
- LCM of 16461 and 16477
- LCM of 16461 and 16478
- LCM of 16461 and 16479
- LCM of 16461 and 16480
- LCM of 16461 and 16481