What is the Least Common Multiple of 88118 and 88137?
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 88118 and 88137 is 7766456166.
LCM(88118,88137) = 7766456166
Least Common Multiple of 88118 and 88137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88118 and 88137, than apply into the LCM equation.
GCF(88118,88137) = 1
LCM(88118,88137) = ( 88118 × 88137) / 1
LCM(88118,88137) = 7766456166 / 1
LCM(88118,88137) = 7766456166
Least Common Multiple (LCM) of 88118 and 88137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88118 and 88137. First we will calculate the prime factors of 88118 and 88137.
Prime Factorization of 88118
Prime factors of 88118 are 2, 44059. Prime factorization of 88118 in exponential form is:
88118 = 21 × 440591
Prime Factorization of 88137
Prime factors of 88137 are 3, 7, 1399. Prime factorization of 88137 in exponential form is:
88137 = 32 × 71 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 88118 and 88137.
LCM(88118,88137) = 21 × 440591 × 32 × 71 × 13991
LCM(88118,88137) = 7766456166
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