What is the Least Common Multiple of 88798 and 88815?
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 88798 and 88815 is 7886594370.
LCM(88798,88815) = 7886594370
Least Common Multiple of 88798 and 88815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88798 and 88815, than apply into the LCM equation.
GCF(88798,88815) = 1
LCM(88798,88815) = ( 88798 × 88815) / 1
LCM(88798,88815) = 7886594370 / 1
LCM(88798,88815) = 7886594370
Least Common Multiple (LCM) of 88798 and 88815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88798 and 88815. First we will calculate the prime factors of 88798 and 88815.
Prime Factorization of 88798
Prime factors of 88798 are 2, 29, 1531. Prime factorization of 88798 in exponential form is:
88798 = 21 × 291 × 15311
Prime Factorization of 88815
Prime factors of 88815 are 3, 5, 31, 191. Prime factorization of 88815 in exponential form is:
88815 = 31 × 51 × 311 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 88798 and 88815.
LCM(88798,88815) = 21 × 291 × 15311 × 31 × 51 × 311 × 1911
LCM(88798,88815) = 7886594370
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