What is the Least Common Multiple of 88619 and 88636?
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 88619 and 88636 is 7854833684.
LCM(88619,88636) = 7854833684
Least Common Multiple of 88619 and 88636 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88619 and 88636, than apply into the LCM equation.
GCF(88619,88636) = 1
LCM(88619,88636) = ( 88619 × 88636) / 1
LCM(88619,88636) = 7854833684 / 1
LCM(88619,88636) = 7854833684
Least Common Multiple (LCM) of 88619 and 88636 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88619 and 88636. First we will calculate the prime factors of 88619 and 88636.
Prime Factorization of 88619
Prime factors of 88619 are 23, 3853. Prime factorization of 88619 in exponential form is:
88619 = 231 × 38531
Prime Factorization of 88636
Prime factors of 88636 are 2, 22159. Prime factorization of 88636 in exponential form is:
88636 = 22 × 221591
Now multiplying the highest exponent prime factors to calculate the LCM of 88619 and 88636.
LCM(88619,88636) = 231 × 38531 × 22 × 221591
LCM(88619,88636) = 7854833684
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