What is the Least Common Multiple of 88247 and 88251?
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 88247 and 88251 is 7787885997.
LCM(88247,88251) = 7787885997
Least Common Multiple of 88247 and 88251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88247 and 88251, than apply into the LCM equation.
GCF(88247,88251) = 1
LCM(88247,88251) = ( 88247 × 88251) / 1
LCM(88247,88251) = 7787885997 / 1
LCM(88247,88251) = 7787885997
Least Common Multiple (LCM) of 88247 and 88251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88247 and 88251. First we will calculate the prime factors of 88247 and 88251.
Prime Factorization of 88247
Prime factors of 88247 are 17, 29, 179. Prime factorization of 88247 in exponential form is:
88247 = 171 × 291 × 1791
Prime Factorization of 88251
Prime factors of 88251 are 3, 23, 1279. Prime factorization of 88251 in exponential form is:
88251 = 31 × 231 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 88247 and 88251.
LCM(88247,88251) = 171 × 291 × 1791 × 31 × 231 × 12791
LCM(88247,88251) = 7787885997
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