What is the Least Common Multiple of 93778 and 93789?
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 93778 and 93789 is 8795344842.
LCM(93778,93789) = 8795344842
Least Common Multiple of 93778 and 93789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93778 and 93789, than apply into the LCM equation.
GCF(93778,93789) = 1
LCM(93778,93789) = ( 93778 × 93789) / 1
LCM(93778,93789) = 8795344842 / 1
LCM(93778,93789) = 8795344842
Least Common Multiple (LCM) of 93778 and 93789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93778 and 93789. First we will calculate the prime factors of 93778 and 93789.
Prime Factorization of 93778
Prime factors of 93778 are 2, 46889. Prime factorization of 93778 in exponential form is:
93778 = 21 × 468891
Prime Factorization of 93789
Prime factors of 93789 are 3, 17, 613. Prime factorization of 93789 in exponential form is:
93789 = 32 × 171 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 93778 and 93789.
LCM(93778,93789) = 21 × 468891 × 32 × 171 × 6131
LCM(93778,93789) = 8795344842
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