What is the Least Common Multiple of 28139 and 28154?
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 28139 and 28154 is 792225406.
LCM(28139,28154) = 792225406
Least Common Multiple of 28139 and 28154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28139 and 28154, than apply into the LCM equation.
GCF(28139,28154) = 1
LCM(28139,28154) = ( 28139 × 28154) / 1
LCM(28139,28154) = 792225406 / 1
LCM(28139,28154) = 792225406
Least Common Multiple (LCM) of 28139 and 28154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28139 and 28154. First we will calculate the prime factors of 28139 and 28154.
Prime Factorization of 28139
Prime factors of 28139 are 19, 1481. Prime factorization of 28139 in exponential form is:
28139 = 191 × 14811
Prime Factorization of 28154
Prime factors of 28154 are 2, 7, 2011. Prime factorization of 28154 in exponential form is:
28154 = 21 × 71 × 20111
Now multiplying the highest exponent prime factors to calculate the LCM of 28139 and 28154.
LCM(28139,28154) = 191 × 14811 × 21 × 71 × 20111
LCM(28139,28154) = 792225406
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