What is the Least Common Multiple of 88827 and 88837?
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 88827 and 88837 is 7891124199.
LCM(88827,88837) = 7891124199
Least Common Multiple of 88827 and 88837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88827 and 88837, than apply into the LCM equation.
GCF(88827,88837) = 1
LCM(88827,88837) = ( 88827 × 88837) / 1
LCM(88827,88837) = 7891124199 / 1
LCM(88827,88837) = 7891124199
Least Common Multiple (LCM) of 88827 and 88837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88827 and 88837. First we will calculate the prime factors of 88827 and 88837.
Prime Factorization of 88827
Prime factors of 88827 are 3, 29, 1021. Prime factorization of 88827 in exponential form is:
88827 = 31 × 291 × 10211
Prime Factorization of 88837
Prime factors of 88837 are 7, 37. Prime factorization of 88837 in exponential form is:
88837 = 74 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 88827 and 88837.
LCM(88827,88837) = 31 × 291 × 10211 × 74 × 371
LCM(88827,88837) = 7891124199
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