What is the Least Common Multiple of 81262 and 81277?
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 81262 and 81277 is 6604731574.
LCM(81262,81277) = 6604731574
Least Common Multiple of 81262 and 81277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81262 and 81277, than apply into the LCM equation.
GCF(81262,81277) = 1
LCM(81262,81277) = ( 81262 × 81277) / 1
LCM(81262,81277) = 6604731574 / 1
LCM(81262,81277) = 6604731574
Least Common Multiple (LCM) of 81262 and 81277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81262 and 81277. First we will calculate the prime factors of 81262 and 81277.
Prime Factorization of 81262
Prime factors of 81262 are 2, 41, 991. Prime factorization of 81262 in exponential form is:
81262 = 21 × 411 × 9911
Prime Factorization of 81277
Prime factors of 81277 are 7, 17, 683. Prime factorization of 81277 in exponential form is:
81277 = 71 × 171 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 81262 and 81277.
LCM(81262,81277) = 21 × 411 × 9911 × 71 × 171 × 6831
LCM(81262,81277) = 6604731574
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