What is the Least Common Multiple of 79885 and 79903?
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 79885 and 79903 is 6383051155.
LCM(79885,79903) = 6383051155
Least Common Multiple of 79885 and 79903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79885 and 79903, than apply into the LCM equation.
GCF(79885,79903) = 1
LCM(79885,79903) = ( 79885 × 79903) / 1
LCM(79885,79903) = 6383051155 / 1
LCM(79885,79903) = 6383051155
Least Common Multiple (LCM) of 79885 and 79903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79885 and 79903. First we will calculate the prime factors of 79885 and 79903.
Prime Factorization of 79885
Prime factors of 79885 are 5, 13, 1229. Prime factorization of 79885 in exponential form is:
79885 = 51 × 131 × 12291
Prime Factorization of 79903
Prime factors of 79903 are 79903. Prime factorization of 79903 in exponential form is:
79903 = 799031
Now multiplying the highest exponent prime factors to calculate the LCM of 79885 and 79903.
LCM(79885,79903) = 51 × 131 × 12291 × 799031
LCM(79885,79903) = 6383051155
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