What is the Least Common Multiple of 28537 and 28541?
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 28537 and 28541 is 814474517.
LCM(28537,28541) = 814474517
Least Common Multiple of 28537 and 28541 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28537 and 28541, than apply into the LCM equation.
GCF(28537,28541) = 1
LCM(28537,28541) = ( 28537 × 28541) / 1
LCM(28537,28541) = 814474517 / 1
LCM(28537,28541) = 814474517
Least Common Multiple (LCM) of 28537 and 28541 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28537 and 28541. First we will calculate the prime factors of 28537 and 28541.
Prime Factorization of 28537
Prime factors of 28537 are 28537. Prime factorization of 28537 in exponential form is:
28537 = 285371
Prime Factorization of 28541
Prime factors of 28541 are 28541. Prime factorization of 28541 in exponential form is:
28541 = 285411
Now multiplying the highest exponent prime factors to calculate the LCM of 28537 and 28541.
LCM(28537,28541) = 285371 × 285411
LCM(28537,28541) = 814474517
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