What is the Least Common Multiple of 28599 and 28618?
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 28599 and 28618 is 818446182.
LCM(28599,28618) = 818446182
Least Common Multiple of 28599 and 28618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28599 and 28618, than apply into the LCM equation.
GCF(28599,28618) = 1
LCM(28599,28618) = ( 28599 × 28618) / 1
LCM(28599,28618) = 818446182 / 1
LCM(28599,28618) = 818446182
Least Common Multiple (LCM) of 28599 and 28618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28599 and 28618. First we will calculate the prime factors of 28599 and 28618.
Prime Factorization of 28599
Prime factors of 28599 are 3, 9533. Prime factorization of 28599 in exponential form is:
28599 = 31 × 95331
Prime Factorization of 28618
Prime factors of 28618 are 2, 41, 349. Prime factorization of 28618 in exponential form is:
28618 = 21 × 411 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 28599 and 28618.
LCM(28599,28618) = 31 × 95331 × 21 × 411 × 3491
LCM(28599,28618) = 818446182
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