What is the Least Common Multiple of 88117 and 88121?
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 88117 and 88121 is 7764958157.
LCM(88117,88121) = 7764958157
Least Common Multiple of 88117 and 88121 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88117 and 88121, than apply into the LCM equation.
GCF(88117,88121) = 1
LCM(88117,88121) = ( 88117 × 88121) / 1
LCM(88117,88121) = 7764958157 / 1
LCM(88117,88121) = 7764958157
Least Common Multiple (LCM) of 88117 and 88121 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88117 and 88121. First we will calculate the prime factors of 88117 and 88121.
Prime Factorization of 88117
Prime factors of 88117 are 88117. Prime factorization of 88117 in exponential form is:
88117 = 881171
Prime Factorization of 88121
Prime factors of 88121 are 11, 8011. Prime factorization of 88121 in exponential form is:
88121 = 111 × 80111
Now multiplying the highest exponent prime factors to calculate the LCM of 88117 and 88121.
LCM(88117,88121) = 881171 × 111 × 80111
LCM(88117,88121) = 7764958157
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