What is the Least Common Multiple of 89159 and 89163?
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 89159 and 89163 is 7949683917.
LCM(89159,89163) = 7949683917
Least Common Multiple of 89159 and 89163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89159 and 89163, than apply into the LCM equation.
GCF(89159,89163) = 1
LCM(89159,89163) = ( 89159 × 89163) / 1
LCM(89159,89163) = 7949683917 / 1
LCM(89159,89163) = 7949683917
Least Common Multiple (LCM) of 89159 and 89163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89159 and 89163. First we will calculate the prime factors of 89159 and 89163.
Prime Factorization of 89159
Prime factors of 89159 are 7, 47, 271. Prime factorization of 89159 in exponential form is:
89159 = 71 × 471 × 2711
Prime Factorization of 89163
Prime factors of 89163 are 3, 9907. Prime factorization of 89163 in exponential form is:
89163 = 32 × 99071
Now multiplying the highest exponent prime factors to calculate the LCM of 89159 and 89163.
LCM(89159,89163) = 71 × 471 × 2711 × 32 × 99071
LCM(89159,89163) = 7949683917
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