What is the Least Common Multiple of 410 and 414?
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 410 and 414 is 84870.
LCM(410,414) = 84870
Least Common Multiple of 410 and 414 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 410 and 414, than apply into the LCM equation.
GCF(410,414) = 2
LCM(410,414) = ( 410 × 414) / 2
LCM(410,414) = 169740 / 2
LCM(410,414) = 84870
Least Common Multiple (LCM) of 410 and 414 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 410 and 414. First we will calculate the prime factors of 410 and 414.
Prime Factorization of 410
Prime factors of 410 are 2, 5, 41. Prime factorization of 410 in exponential form is:
410 = 21 × 51 × 411
Prime Factorization of 414
Prime factors of 414 are 2, 3, 23. Prime factorization of 414 in exponential form is:
414 = 21 × 32 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 410 and 414.
LCM(410,414) = 21 × 51 × 411 × 32 × 231
LCM(410,414) = 84870
Related Least Common Multiples of 410
- LCM of 410 and 414
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Related Least Common Multiples of 414
- LCM of 414 and 418
- LCM of 414 and 419
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- LCM of 414 and 421
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