What is the Least Common Multiple of 86062 and 86081?
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 86062 and 86081 is 7408303022.
LCM(86062,86081) = 7408303022
Least Common Multiple of 86062 and 86081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86062 and 86081, than apply into the LCM equation.
GCF(86062,86081) = 1
LCM(86062,86081) = ( 86062 × 86081) / 1
LCM(86062,86081) = 7408303022 / 1
LCM(86062,86081) = 7408303022
Least Common Multiple (LCM) of 86062 and 86081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86062 and 86081. First we will calculate the prime factors of 86062 and 86081.
Prime Factorization of 86062
Prime factors of 86062 are 2, 37, 1163. Prime factorization of 86062 in exponential form is:
86062 = 21 × 371 × 11631
Prime Factorization of 86081
Prime factors of 86081 are 59, 1459. Prime factorization of 86081 in exponential form is:
86081 = 591 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 86062 and 86081.
LCM(86062,86081) = 21 × 371 × 11631 × 591 × 14591
LCM(86062,86081) = 7408303022
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