What is the Least Common Multiple of 27404 and 27414?
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 27404 and 27414 is 375626628.
LCM(27404,27414) = 375626628
Least Common Multiple of 27404 and 27414 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27404 and 27414, than apply into the LCM equation.
GCF(27404,27414) = 2
LCM(27404,27414) = ( 27404 × 27414) / 2
LCM(27404,27414) = 751253256 / 2
LCM(27404,27414) = 375626628
Least Common Multiple (LCM) of 27404 and 27414 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27404 and 27414. First we will calculate the prime factors of 27404 and 27414.
Prime Factorization of 27404
Prime factors of 27404 are 2, 13, 17, 31. Prime factorization of 27404 in exponential form is:
27404 = 22 × 131 × 171 × 311
Prime Factorization of 27414
Prime factors of 27414 are 2, 3, 1523. Prime factorization of 27414 in exponential form is:
27414 = 21 × 32 × 15231
Now multiplying the highest exponent prime factors to calculate the LCM of 27404 and 27414.
LCM(27404,27414) = 22 × 131 × 171 × 311 × 32 × 15231
LCM(27404,27414) = 375626628
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