What is the Least Common Multiple of 85055 and 85063?
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 85055 and 85063 is 7235033465.
LCM(85055,85063) = 7235033465
Least Common Multiple of 85055 and 85063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85055 and 85063, than apply into the LCM equation.
GCF(85055,85063) = 1
LCM(85055,85063) = ( 85055 × 85063) / 1
LCM(85055,85063) = 7235033465 / 1
LCM(85055,85063) = 7235033465
Least Common Multiple (LCM) of 85055 and 85063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85055 and 85063. First we will calculate the prime factors of 85055 and 85063.
Prime Factorization of 85055
Prime factors of 85055 are 5, 17011. Prime factorization of 85055 in exponential form is:
85055 = 51 × 170111
Prime Factorization of 85063
Prime factors of 85063 are 11, 19, 37. Prime factorization of 85063 in exponential form is:
85063 = 112 × 191 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 85055 and 85063.
LCM(85055,85063) = 51 × 170111 × 112 × 191 × 371
LCM(85055,85063) = 7235033465
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