What is the Least Common Multiple of 93765 and 93773?
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 93765 and 93773 is 8792625345.
LCM(93765,93773) = 8792625345
Least Common Multiple of 93765 and 93773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93765 and 93773, than apply into the LCM equation.
GCF(93765,93773) = 1
LCM(93765,93773) = ( 93765 × 93773) / 1
LCM(93765,93773) = 8792625345 / 1
LCM(93765,93773) = 8792625345
Least Common Multiple (LCM) of 93765 and 93773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93765 and 93773. First we will calculate the prime factors of 93765 and 93773.
Prime Factorization of 93765
Prime factors of 93765 are 3, 5, 7, 19, 47. Prime factorization of 93765 in exponential form is:
93765 = 31 × 51 × 71 × 191 × 471
Prime Factorization of 93773
Prime factors of 93773 are 79, 1187. Prime factorization of 93773 in exponential form is:
93773 = 791 × 11871
Now multiplying the highest exponent prime factors to calculate the LCM of 93765 and 93773.
LCM(93765,93773) = 31 × 51 × 71 × 191 × 471 × 791 × 11871
LCM(93765,93773) = 8792625345
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