What is the Least Common Multiple of 88129 and 88135?
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 88129 and 88135 is 7767249415.
LCM(88129,88135) = 7767249415
Least Common Multiple of 88129 and 88135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88129 and 88135, than apply into the LCM equation.
GCF(88129,88135) = 1
LCM(88129,88135) = ( 88129 × 88135) / 1
LCM(88129,88135) = 7767249415 / 1
LCM(88129,88135) = 7767249415
Least Common Multiple (LCM) of 88129 and 88135 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88129 and 88135. First we will calculate the prime factors of 88129 and 88135.
Prime Factorization of 88129
Prime factors of 88129 are 88129. Prime factorization of 88129 in exponential form is:
88129 = 881291
Prime Factorization of 88135
Prime factors of 88135 are 5, 17627. Prime factorization of 88135 in exponential form is:
88135 = 51 × 176271
Now multiplying the highest exponent prime factors to calculate the LCM of 88129 and 88135.
LCM(88129,88135) = 881291 × 51 × 176271
LCM(88129,88135) = 7767249415
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