What is the Least Common Multiple of 95903 and 95908?
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 95903 and 95908 is 9197864924.
LCM(95903,95908) = 9197864924
Least Common Multiple of 95903 and 95908 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95903 and 95908, than apply into the LCM equation.
GCF(95903,95908) = 1
LCM(95903,95908) = ( 95903 × 95908) / 1
LCM(95903,95908) = 9197864924 / 1
LCM(95903,95908) = 9197864924
Least Common Multiple (LCM) of 95903 and 95908 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95903 and 95908. First we will calculate the prime factors of 95903 and 95908.
Prime Factorization of 95903
Prime factors of 95903 are 29, 3307. Prime factorization of 95903 in exponential form is:
95903 = 291 × 33071
Prime Factorization of 95908
Prime factors of 95908 are 2, 23977. Prime factorization of 95908 in exponential form is:
95908 = 22 × 239771
Now multiplying the highest exponent prime factors to calculate the LCM of 95903 and 95908.
LCM(95903,95908) = 291 × 33071 × 22 × 239771
LCM(95903,95908) = 9197864924
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