What is the Least Common Multiple of 88429 and 88434?
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 88429 and 88434 is 7820130186.
LCM(88429,88434) = 7820130186
Least Common Multiple of 88429 and 88434 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88429 and 88434, than apply into the LCM equation.
GCF(88429,88434) = 1
LCM(88429,88434) = ( 88429 × 88434) / 1
LCM(88429,88434) = 7820130186 / 1
LCM(88429,88434) = 7820130186
Least Common Multiple (LCM) of 88429 and 88434 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88429 and 88434. First we will calculate the prime factors of 88429 and 88434.
Prime Factorization of 88429
Prime factors of 88429 are 11, 8039. Prime factorization of 88429 in exponential form is:
88429 = 111 × 80391
Prime Factorization of 88434
Prime factors of 88434 are 2, 3, 17. Prime factorization of 88434 in exponential form is:
88434 = 21 × 32 × 173
Now multiplying the highest exponent prime factors to calculate the LCM of 88429 and 88434.
LCM(88429,88434) = 111 × 80391 × 21 × 32 × 173
LCM(88429,88434) = 7820130186
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