What is the Least Common Multiple of 95437 and 95447?
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 95437 and 95447 is 9109175339.
LCM(95437,95447) = 9109175339
Least Common Multiple of 95437 and 95447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95437 and 95447, than apply into the LCM equation.
GCF(95437,95447) = 1
LCM(95437,95447) = ( 95437 × 95447) / 1
LCM(95437,95447) = 9109175339 / 1
LCM(95437,95447) = 9109175339
Least Common Multiple (LCM) of 95437 and 95447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95437 and 95447. First we will calculate the prime factors of 95437 and 95447.
Prime Factorization of 95437
Prime factors of 95437 are 19, 5023. Prime factorization of 95437 in exponential form is:
95437 = 191 × 50231
Prime Factorization of 95447
Prime factors of 95447 are 11, 8677. Prime factorization of 95447 in exponential form is:
95447 = 111 × 86771
Now multiplying the highest exponent prime factors to calculate the LCM of 95437 and 95447.
LCM(95437,95447) = 191 × 50231 × 111 × 86771
LCM(95437,95447) = 9109175339
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