What is the Least Common Multiple of 28102 and 28106?
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 28102 and 28106 is 394917406.
LCM(28102,28106) = 394917406
Least Common Multiple of 28102 and 28106 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28102 and 28106, than apply into the LCM equation.
GCF(28102,28106) = 2
LCM(28102,28106) = ( 28102 × 28106) / 2
LCM(28102,28106) = 789834812 / 2
LCM(28102,28106) = 394917406
Least Common Multiple (LCM) of 28102 and 28106 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28102 and 28106. First we will calculate the prime factors of 28102 and 28106.
Prime Factorization of 28102
Prime factors of 28102 are 2, 14051. Prime factorization of 28102 in exponential form is:
28102 = 21 × 140511
Prime Factorization of 28106
Prime factors of 28106 are 2, 13, 23, 47. Prime factorization of 28106 in exponential form is:
28106 = 21 × 131 × 231 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 28102 and 28106.
LCM(28102,28106) = 21 × 140511 × 131 × 231 × 471
LCM(28102,28106) = 394917406
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