What is the Least Common Multiple of 88339 and 88357?
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 88339 and 88357 is 7805369023.
LCM(88339,88357) = 7805369023
Least Common Multiple of 88339 and 88357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88339 and 88357, than apply into the LCM equation.
GCF(88339,88357) = 1
LCM(88339,88357) = ( 88339 × 88357) / 1
LCM(88339,88357) = 7805369023 / 1
LCM(88339,88357) = 7805369023
Least Common Multiple (LCM) of 88339 and 88357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88339 and 88357. First we will calculate the prime factors of 88339 and 88357.
Prime Factorization of 88339
Prime factors of 88339 are 88339. Prime factorization of 88339 in exponential form is:
88339 = 883391
Prime Factorization of 88357
Prime factors of 88357 are 149, 593. Prime factorization of 88357 in exponential form is:
88357 = 1491 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 88339 and 88357.
LCM(88339,88357) = 883391 × 1491 × 5931
LCM(88339,88357) = 7805369023
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