What is the Least Common Multiple of 88865 and 88877?
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 88865 and 88877 is 7898054605.
LCM(88865,88877) = 7898054605
Least Common Multiple of 88865 and 88877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88865 and 88877, than apply into the LCM equation.
GCF(88865,88877) = 1
LCM(88865,88877) = ( 88865 × 88877) / 1
LCM(88865,88877) = 7898054605 / 1
LCM(88865,88877) = 7898054605
Least Common Multiple (LCM) of 88865 and 88877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88865 and 88877. First we will calculate the prime factors of 88865 and 88877.
Prime Factorization of 88865
Prime factors of 88865 are 5, 7, 2539. Prime factorization of 88865 in exponential form is:
88865 = 51 × 71 × 25391
Prime Factorization of 88877
Prime factors of 88877 are 31, 47, 61. Prime factorization of 88877 in exponential form is:
88877 = 311 × 471 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 88865 and 88877.
LCM(88865,88877) = 51 × 71 × 25391 × 311 × 471 × 611
LCM(88865,88877) = 7898054605
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