What is the Least Common Multiple of 28387 and 28407?
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 28387 and 28407 is 806389509.
LCM(28387,28407) = 806389509
Least Common Multiple of 28387 and 28407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28387 and 28407, than apply into the LCM equation.
GCF(28387,28407) = 1
LCM(28387,28407) = ( 28387 × 28407) / 1
LCM(28387,28407) = 806389509 / 1
LCM(28387,28407) = 806389509
Least Common Multiple (LCM) of 28387 and 28407 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28387 and 28407. First we will calculate the prime factors of 28387 and 28407.
Prime Factorization of 28387
Prime factors of 28387 are 28387. Prime factorization of 28387 in exponential form is:
28387 = 283871
Prime Factorization of 28407
Prime factors of 28407 are 3, 17, 557. Prime factorization of 28407 in exponential form is:
28407 = 31 × 171 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 28387 and 28407.
LCM(28387,28407) = 283871 × 31 × 171 × 5571
LCM(28387,28407) = 806389509
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