What is the Least Common Multiple of 93058 and 93063?
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 93058 and 93063 is 8660256654.
LCM(93058,93063) = 8660256654
Least Common Multiple of 93058 and 93063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93058 and 93063, than apply into the LCM equation.
GCF(93058,93063) = 1
LCM(93058,93063) = ( 93058 × 93063) / 1
LCM(93058,93063) = 8660256654 / 1
LCM(93058,93063) = 8660256654
Least Common Multiple (LCM) of 93058 and 93063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93058 and 93063. First we will calculate the prime factors of 93058 and 93063.
Prime Factorization of 93058
Prime factors of 93058 are 2, 7, 17, 23. Prime factorization of 93058 in exponential form is:
93058 = 21 × 71 × 172 × 231
Prime Factorization of 93063
Prime factors of 93063 are 3, 67, 463. Prime factorization of 93063 in exponential form is:
93063 = 31 × 671 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 93058 and 93063.
LCM(93058,93063) = 21 × 71 × 172 × 231 × 31 × 671 × 4631
LCM(93058,93063) = 8660256654
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