What is the Least Common Multiple of 83055 and 83063?
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 83055 and 83063 is 6898797465.
LCM(83055,83063) = 6898797465
Least Common Multiple of 83055 and 83063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83055 and 83063, than apply into the LCM equation.
GCF(83055,83063) = 1
LCM(83055,83063) = ( 83055 × 83063) / 1
LCM(83055,83063) = 6898797465 / 1
LCM(83055,83063) = 6898797465
Least Common Multiple (LCM) of 83055 and 83063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83055 and 83063. First we will calculate the prime factors of 83055 and 83063.
Prime Factorization of 83055
Prime factors of 83055 are 3, 5, 7, 113. Prime factorization of 83055 in exponential form is:
83055 = 31 × 51 × 72 × 1131
Prime Factorization of 83063
Prime factors of 83063 are 83063. Prime factorization of 83063 in exponential form is:
83063 = 830631
Now multiplying the highest exponent prime factors to calculate the LCM of 83055 and 83063.
LCM(83055,83063) = 31 × 51 × 72 × 1131 × 830631
LCM(83055,83063) = 6898797465
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