What is the Least Common Multiple of 88596 and 88607?
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 88596 and 88607 is 7850225772.
LCM(88596,88607) = 7850225772
Least Common Multiple of 88596 and 88607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88596 and 88607, than apply into the LCM equation.
GCF(88596,88607) = 1
LCM(88596,88607) = ( 88596 × 88607) / 1
LCM(88596,88607) = 7850225772 / 1
LCM(88596,88607) = 7850225772
Least Common Multiple (LCM) of 88596 and 88607 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88596 and 88607. First we will calculate the prime factors of 88596 and 88607.
Prime Factorization of 88596
Prime factors of 88596 are 2, 3, 23, 107. Prime factorization of 88596 in exponential form is:
88596 = 22 × 32 × 231 × 1071
Prime Factorization of 88607
Prime factors of 88607 are 88607. Prime factorization of 88607 in exponential form is:
88607 = 886071
Now multiplying the highest exponent prime factors to calculate the LCM of 88596 and 88607.
LCM(88596,88607) = 22 × 32 × 231 × 1071 × 886071
LCM(88596,88607) = 7850225772
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