What is the Least Common Multiple of 86603 and 86622?
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 86603 and 86622 is 7501725066.
LCM(86603,86622) = 7501725066
Least Common Multiple of 86603 and 86622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86603 and 86622, than apply into the LCM equation.
GCF(86603,86622) = 1
LCM(86603,86622) = ( 86603 × 86622) / 1
LCM(86603,86622) = 7501725066 / 1
LCM(86603,86622) = 7501725066
Least Common Multiple (LCM) of 86603 and 86622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86603 and 86622. First we will calculate the prime factors of 86603 and 86622.
Prime Factorization of 86603
Prime factors of 86603 are 11, 7873. Prime factorization of 86603 in exponential form is:
86603 = 111 × 78731
Prime Factorization of 86622
Prime factors of 86622 are 2, 3, 14437. Prime factorization of 86622 in exponential form is:
86622 = 21 × 31 × 144371
Now multiplying the highest exponent prime factors to calculate the LCM of 86603 and 86622.
LCM(86603,86622) = 111 × 78731 × 21 × 31 × 144371
LCM(86603,86622) = 7501725066
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