What is the Least Common Multiple of 81255 and 81262?
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 81255 and 81262 is 6602943810.
LCM(81255,81262) = 6602943810
Least Common Multiple of 81255 and 81262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81255 and 81262, than apply into the LCM equation.
GCF(81255,81262) = 1
LCM(81255,81262) = ( 81255 × 81262) / 1
LCM(81255,81262) = 6602943810 / 1
LCM(81255,81262) = 6602943810
Least Common Multiple (LCM) of 81255 and 81262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81255 and 81262. First we will calculate the prime factors of 81255 and 81262.
Prime Factorization of 81255
Prime factors of 81255 are 3, 5, 5417. Prime factorization of 81255 in exponential form is:
81255 = 31 × 51 × 54171
Prime Factorization of 81262
Prime factors of 81262 are 2, 41, 991. Prime factorization of 81262 in exponential form is:
81262 = 21 × 411 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 81255 and 81262.
LCM(81255,81262) = 31 × 51 × 54171 × 21 × 411 × 9911
LCM(81255,81262) = 6602943810
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