What is the Least Common Multiple of 88773 and 88787?
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 88773 and 88787 is 7881888351.
LCM(88773,88787) = 7881888351
Least Common Multiple of 88773 and 88787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88773 and 88787, than apply into the LCM equation.
GCF(88773,88787) = 1
LCM(88773,88787) = ( 88773 × 88787) / 1
LCM(88773,88787) = 7881888351 / 1
LCM(88773,88787) = 7881888351
Least Common Multiple (LCM) of 88773 and 88787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88773 and 88787. First we will calculate the prime factors of 88773 and 88787.
Prime Factorization of 88773
Prime factors of 88773 are 3, 127, 233. Prime factorization of 88773 in exponential form is:
88773 = 31 × 1271 × 2331
Prime Factorization of 88787
Prime factors of 88787 are 19, 4673. Prime factorization of 88787 in exponential form is:
88787 = 191 × 46731
Now multiplying the highest exponent prime factors to calculate the LCM of 88773 and 88787.
LCM(88773,88787) = 31 × 1271 × 2331 × 191 × 46731
LCM(88773,88787) = 7881888351
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