What is the Least Common Multiple of 28147 and 28157?
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 28147 and 28157 is 792535079.
LCM(28147,28157) = 792535079
Least Common Multiple of 28147 and 28157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28147 and 28157, than apply into the LCM equation.
GCF(28147,28157) = 1
LCM(28147,28157) = ( 28147 × 28157) / 1
LCM(28147,28157) = 792535079 / 1
LCM(28147,28157) = 792535079
Least Common Multiple (LCM) of 28147 and 28157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28147 and 28157. First we will calculate the prime factors of 28147 and 28157.
Prime Factorization of 28147
Prime factors of 28147 are 7, 4021. Prime factorization of 28147 in exponential form is:
28147 = 71 × 40211
Prime Factorization of 28157
Prime factors of 28157 are 37, 761. Prime factorization of 28157 in exponential form is:
28157 = 371 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 28147 and 28157.
LCM(28147,28157) = 71 × 40211 × 371 × 7611
LCM(28147,28157) = 792535079
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