What is the Least Common Multiple of 86599 and 86603?
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 86599 and 86603 is 7499733197.
LCM(86599,86603) = 7499733197
Least Common Multiple of 86599 and 86603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86599 and 86603, than apply into the LCM equation.
GCF(86599,86603) = 1
LCM(86599,86603) = ( 86599 × 86603) / 1
LCM(86599,86603) = 7499733197 / 1
LCM(86599,86603) = 7499733197
Least Common Multiple (LCM) of 86599 and 86603 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86599 and 86603. First we will calculate the prime factors of 86599 and 86603.
Prime Factorization of 86599
Prime factors of 86599 are 86599. Prime factorization of 86599 in exponential form is:
86599 = 865991
Prime Factorization of 86603
Prime factors of 86603 are 11, 7873. Prime factorization of 86603 in exponential form is:
86603 = 111 × 78731
Now multiplying the highest exponent prime factors to calculate the LCM of 86599 and 86603.
LCM(86599,86603) = 865991 × 111 × 78731
LCM(86599,86603) = 7499733197
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