What is the Least Common Multiple of 28903 and 28907?
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 28903 and 28907 is 835499021.
LCM(28903,28907) = 835499021
Least Common Multiple of 28903 and 28907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28903 and 28907, than apply into the LCM equation.
GCF(28903,28907) = 1
LCM(28903,28907) = ( 28903 × 28907) / 1
LCM(28903,28907) = 835499021 / 1
LCM(28903,28907) = 835499021
Least Common Multiple (LCM) of 28903 and 28907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28903 and 28907. First we will calculate the prime factors of 28903 and 28907.
Prime Factorization of 28903
Prime factors of 28903 are 7, 4129. Prime factorization of 28903 in exponential form is:
28903 = 71 × 41291
Prime Factorization of 28907
Prime factors of 28907 are 137, 211. Prime factorization of 28907 in exponential form is:
28907 = 1371 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 28903 and 28907.
LCM(28903,28907) = 71 × 41291 × 1371 × 2111
LCM(28903,28907) = 835499021
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