What is the Least Common Multiple of 70887 and 70903?
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 70887 and 70903 is 5026100961.
LCM(70887,70903) = 5026100961
Least Common Multiple of 70887 and 70903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70887 and 70903, than apply into the LCM equation.
GCF(70887,70903) = 1
LCM(70887,70903) = ( 70887 × 70903) / 1
LCM(70887,70903) = 5026100961 / 1
LCM(70887,70903) = 5026100961
Least Common Multiple (LCM) of 70887 and 70903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70887 and 70903. First we will calculate the prime factors of 70887 and 70903.
Prime Factorization of 70887
Prime factors of 70887 are 3, 23629. Prime factorization of 70887 in exponential form is:
70887 = 31 × 236291
Prime Factorization of 70903
Prime factors of 70903 are 7, 1447. Prime factorization of 70903 in exponential form is:
70903 = 72 × 14471
Now multiplying the highest exponent prime factors to calculate the LCM of 70887 and 70903.
LCM(70887,70903) = 31 × 236291 × 72 × 14471
LCM(70887,70903) = 5026100961
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