What is the Least Common Multiple of 15902 and 15914?
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 15902 and 15914 is 126532214.
LCM(15902,15914) = 126532214
Least Common Multiple of 15902 and 15914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15902 and 15914, than apply into the LCM equation.
GCF(15902,15914) = 2
LCM(15902,15914) = ( 15902 × 15914) / 2
LCM(15902,15914) = 253064428 / 2
LCM(15902,15914) = 126532214
Least Common Multiple (LCM) of 15902 and 15914 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15902 and 15914. First we will calculate the prime factors of 15902 and 15914.
Prime Factorization of 15902
Prime factors of 15902 are 2, 7951. Prime factorization of 15902 in exponential form is:
15902 = 21 × 79511
Prime Factorization of 15914
Prime factors of 15914 are 2, 73, 109. Prime factorization of 15914 in exponential form is:
15914 = 21 × 731 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 15902 and 15914.
LCM(15902,15914) = 21 × 79511 × 731 × 1091
LCM(15902,15914) = 126532214
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