What is the Least Common Multiple of 28100 and 28119?
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 28100 and 28119 is 790143900.
LCM(28100,28119) = 790143900
Least Common Multiple of 28100 and 28119 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28100 and 28119, than apply into the LCM equation.
GCF(28100,28119) = 1
LCM(28100,28119) = ( 28100 × 28119) / 1
LCM(28100,28119) = 790143900 / 1
LCM(28100,28119) = 790143900
Least Common Multiple (LCM) of 28100 and 28119 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28100 and 28119. First we will calculate the prime factors of 28100 and 28119.
Prime Factorization of 28100
Prime factors of 28100 are 2, 5, 281. Prime factorization of 28100 in exponential form is:
28100 = 22 × 52 × 2811
Prime Factorization of 28119
Prime factors of 28119 are 3, 7, 13, 103. Prime factorization of 28119 in exponential form is:
28119 = 31 × 71 × 131 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 28100 and 28119.
LCM(28100,28119) = 22 × 52 × 2811 × 31 × 71 × 131 × 1031
LCM(28100,28119) = 790143900
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