What is the Least Common Multiple of 8414 and 8428?
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 8414 and 8428 is 5065228.
LCM(8414,8428) = 5065228
Least Common Multiple of 8414 and 8428 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8414 and 8428, than apply into the LCM equation.
GCF(8414,8428) = 14
LCM(8414,8428) = ( 8414 × 8428) / 14
LCM(8414,8428) = 70913192 / 14
LCM(8414,8428) = 5065228
Least Common Multiple (LCM) of 8414 and 8428 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8414 and 8428. First we will calculate the prime factors of 8414 and 8428.
Prime Factorization of 8414
Prime factors of 8414 are 2, 7, 601. Prime factorization of 8414 in exponential form is:
8414 = 21 × 71 × 6011
Prime Factorization of 8428
Prime factors of 8428 are 2, 7, 43. Prime factorization of 8428 in exponential form is:
8428 = 22 × 72 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 8414 and 8428.
LCM(8414,8428) = 22 × 72 × 6011 × 431
LCM(8414,8428) = 5065228
Related Least Common Multiples of 8414
- LCM of 8414 and 8418
- LCM of 8414 and 8419
- LCM of 8414 and 8420
- LCM of 8414 and 8421
- LCM of 8414 and 8422
- LCM of 8414 and 8423
- LCM of 8414 and 8424
- LCM of 8414 and 8425
- LCM of 8414 and 8426
- LCM of 8414 and 8427
- LCM of 8414 and 8428
- LCM of 8414 and 8429
- LCM of 8414 and 8430
- LCM of 8414 and 8431
- LCM of 8414 and 8432
- LCM of 8414 and 8433
- LCM of 8414 and 8434
Related Least Common Multiples of 8428
- LCM of 8428 and 8432
- LCM of 8428 and 8433
- LCM of 8428 and 8434
- LCM of 8428 and 8435
- LCM of 8428 and 8436
- LCM of 8428 and 8437
- LCM of 8428 and 8438
- LCM of 8428 and 8439
- LCM of 8428 and 8440
- LCM of 8428 and 8441
- LCM of 8428 and 8442
- LCM of 8428 and 8443
- LCM of 8428 and 8444
- LCM of 8428 and 8445
- LCM of 8428 and 8446
- LCM of 8428 and 8447
- LCM of 8428 and 8448