What is the Least Common Multiple of 86818 and 86833?
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 86818 and 86833 is 7538667394.
LCM(86818,86833) = 7538667394
Least Common Multiple of 86818 and 86833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86818 and 86833, than apply into the LCM equation.
GCF(86818,86833) = 1
LCM(86818,86833) = ( 86818 × 86833) / 1
LCM(86818,86833) = 7538667394 / 1
LCM(86818,86833) = 7538667394
Least Common Multiple (LCM) of 86818 and 86833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86818 and 86833. First we will calculate the prime factors of 86818 and 86833.
Prime Factorization of 86818
Prime factors of 86818 are 2, 83, 523. Prime factorization of 86818 in exponential form is:
86818 = 21 × 831 × 5231
Prime Factorization of 86833
Prime factors of 86833 are 71, 1223. Prime factorization of 86833 in exponential form is:
86833 = 711 × 12231
Now multiplying the highest exponent prime factors to calculate the LCM of 86818 and 86833.
LCM(86818,86833) = 21 × 831 × 5231 × 711 × 12231
LCM(86818,86833) = 7538667394
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