What is the Least Common Multiple of 8414 and 8420?
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 8420 is 35422940.
LCM(8414,8420) = 35422940
Least Common Multiple of 8414 and 8420 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 8420, than apply into the LCM equation.
GCF(8414,8420) = 2
LCM(8414,8420) = ( 8414 × 8420) / 2
LCM(8414,8420) = 70845880 / 2
LCM(8414,8420) = 35422940
Least Common Multiple (LCM) of 8414 and 8420 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8414 and 8420. First we will calculate the prime factors of 8414 and 8420.
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 8420
Prime factors of 8420 are 2, 5, 421. Prime factorization of 8420 in exponential form is:
8420 = 22 × 51 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 8414 and 8420.
LCM(8414,8420) = 22 × 71 × 6011 × 51 × 4211
LCM(8414,8420) = 35422940
Related Least Common Multiples of 8414
- LCM of 8414 and 8418
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- LCM of 8414 and 8420
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- 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
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- 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 8420
- LCM of 8420 and 8424
- LCM of 8420 and 8425
- LCM of 8420 and 8426
- LCM of 8420 and 8427
- LCM of 8420 and 8428
- LCM of 8420 and 8429
- LCM of 8420 and 8430
- LCM of 8420 and 8431
- LCM of 8420 and 8432
- LCM of 8420 and 8433
- LCM of 8420 and 8434
- LCM of 8420 and 8435
- LCM of 8420 and 8436
- LCM of 8420 and 8437
- LCM of 8420 and 8438
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- LCM of 8420 and 8440