What is the Least Common Multiple of 88643 and 88655?
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 88643 and 88655 is 7858645165.
LCM(88643,88655) = 7858645165
Least Common Multiple of 88643 and 88655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88643 and 88655, than apply into the LCM equation.
GCF(88643,88655) = 1
LCM(88643,88655) = ( 88643 × 88655) / 1
LCM(88643,88655) = 7858645165 / 1
LCM(88643,88655) = 7858645165
Least Common Multiple (LCM) of 88643 and 88655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88643 and 88655. First we will calculate the prime factors of 88643 and 88655.
Prime Factorization of 88643
Prime factors of 88643 are 88643. Prime factorization of 88643 in exponential form is:
88643 = 886431
Prime Factorization of 88655
Prime factors of 88655 are 5, 7, 17, 149. Prime factorization of 88655 in exponential form is:
88655 = 51 × 71 × 171 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 88643 and 88655.
LCM(88643,88655) = 886431 × 51 × 71 × 171 × 1491
LCM(88643,88655) = 7858645165
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