What is the Least Common Multiple of 86495 and 86511?
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 86495 and 86511 is 7482768945.
LCM(86495,86511) = 7482768945
Least Common Multiple of 86495 and 86511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86495 and 86511, than apply into the LCM equation.
GCF(86495,86511) = 1
LCM(86495,86511) = ( 86495 × 86511) / 1
LCM(86495,86511) = 7482768945 / 1
LCM(86495,86511) = 7482768945
Least Common Multiple (LCM) of 86495 and 86511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86495 and 86511. First we will calculate the prime factors of 86495 and 86511.
Prime Factorization of 86495
Prime factors of 86495 are 5, 17299. Prime factorization of 86495 in exponential form is:
86495 = 51 × 172991
Prime Factorization of 86511
Prime factors of 86511 are 3, 28837. Prime factorization of 86511 in exponential form is:
86511 = 31 × 288371
Now multiplying the highest exponent prime factors to calculate the LCM of 86495 and 86511.
LCM(86495,86511) = 51 × 172991 × 31 × 288371
LCM(86495,86511) = 7482768945
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