What is the Least Common Multiple of 69865 and 69875?
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 69865 and 69875 is 976363375.
LCM(69865,69875) = 976363375
Least Common Multiple of 69865 and 69875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69865 and 69875, than apply into the LCM equation.
GCF(69865,69875) = 5
LCM(69865,69875) = ( 69865 × 69875) / 5
LCM(69865,69875) = 4881816875 / 5
LCM(69865,69875) = 976363375
Least Common Multiple (LCM) of 69865 and 69875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69865 and 69875. First we will calculate the prime factors of 69865 and 69875.
Prime Factorization of 69865
Prime factors of 69865 are 5, 89, 157. Prime factorization of 69865 in exponential form is:
69865 = 51 × 891 × 1571
Prime Factorization of 69875
Prime factors of 69875 are 5, 13, 43. Prime factorization of 69875 in exponential form is:
69875 = 53 × 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 69865 and 69875.
LCM(69865,69875) = 53 × 891 × 1571 × 131 × 431
LCM(69865,69875) = 976363375
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