What is the Least Common Multiple of 99910 and 99914?
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 99910 and 99914 is 4991203870.
LCM(99910,99914) = 4991203870
Least Common Multiple of 99910 and 99914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99910 and 99914, than apply into the LCM equation.
GCF(99910,99914) = 2
LCM(99910,99914) = ( 99910 × 99914) / 2
LCM(99910,99914) = 9982407740 / 2
LCM(99910,99914) = 4991203870
Least Common Multiple (LCM) of 99910 and 99914 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99910 and 99914. First we will calculate the prime factors of 99910 and 99914.
Prime Factorization of 99910
Prime factors of 99910 are 2, 5, 97, 103. Prime factorization of 99910 in exponential form is:
99910 = 21 × 51 × 971 × 1031
Prime Factorization of 99914
Prime factors of 99914 are 2, 49957. Prime factorization of 99914 in exponential form is:
99914 = 21 × 499571
Now multiplying the highest exponent prime factors to calculate the LCM of 99910 and 99914.
LCM(99910,99914) = 21 × 51 × 971 × 1031 × 499571
LCM(99910,99914) = 4991203870
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