What is the Least Common Multiple of 95927 and 95933?
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 95927 and 95933 is 9202564891.
LCM(95927,95933) = 9202564891
Least Common Multiple of 95927 and 95933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95927 and 95933, than apply into the LCM equation.
GCF(95927,95933) = 1
LCM(95927,95933) = ( 95927 × 95933) / 1
LCM(95927,95933) = 9202564891 / 1
LCM(95927,95933) = 9202564891
Least Common Multiple (LCM) of 95927 and 95933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95927 and 95933. First we will calculate the prime factors of 95927 and 95933.
Prime Factorization of 95927
Prime factors of 95927 are 13, 47, 157. Prime factorization of 95927 in exponential form is:
95927 = 131 × 471 × 1571
Prime Factorization of 95933
Prime factors of 95933 are 23, 43, 97. Prime factorization of 95933 in exponential form is:
95933 = 231 × 431 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 95927 and 95933.
LCM(95927,95933) = 131 × 471 × 1571 × 231 × 431 × 971
LCM(95927,95933) = 9202564891
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