What is the Least Common Multiple of 27408 and 27413?
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 27408 and 27413 is 751335504.
LCM(27408,27413) = 751335504
Least Common Multiple of 27408 and 27413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27408 and 27413, than apply into the LCM equation.
GCF(27408,27413) = 1
LCM(27408,27413) = ( 27408 × 27413) / 1
LCM(27408,27413) = 751335504 / 1
LCM(27408,27413) = 751335504
Least Common Multiple (LCM) of 27408 and 27413 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27408 and 27413. First we will calculate the prime factors of 27408 and 27413.
Prime Factorization of 27408
Prime factors of 27408 are 2, 3, 571. Prime factorization of 27408 in exponential form is:
27408 = 24 × 31 × 5711
Prime Factorization of 27413
Prime factors of 27413 are 79, 347. Prime factorization of 27413 in exponential form is:
27413 = 791 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 27408 and 27413.
LCM(27408,27413) = 24 × 31 × 5711 × 791 × 3471
LCM(27408,27413) = 751335504
Related Least Common Multiples of 27408
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- LCM of 27408 and 27420
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Related Least Common Multiples of 27413
- LCM of 27413 and 27417
- LCM of 27413 and 27418
- LCM of 27413 and 27419
- LCM of 27413 and 27420
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- LCM of 27413 and 27423
- LCM of 27413 and 27424
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- LCM of 27413 and 27427
- LCM of 27413 and 27428
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