What is the Least Common Multiple of 93763 and 93769?
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 93763 and 93769 is 8792062747.
LCM(93763,93769) = 8792062747
Least Common Multiple of 93763 and 93769 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93763 and 93769, than apply into the LCM equation.
GCF(93763,93769) = 1
LCM(93763,93769) = ( 93763 × 93769) / 1
LCM(93763,93769) = 8792062747 / 1
LCM(93763,93769) = 8792062747
Least Common Multiple (LCM) of 93763 and 93769 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93763 and 93769. First we will calculate the prime factors of 93763 and 93769.
Prime Factorization of 93763
Prime factors of 93763 are 93763. Prime factorization of 93763 in exponential form is:
93763 = 937631
Prime Factorization of 93769
Prime factors of 93769 are 13, 7213. Prime factorization of 93769 in exponential form is:
93769 = 131 × 72131
Now multiplying the highest exponent prime factors to calculate the LCM of 93763 and 93769.
LCM(93763,93769) = 937631 × 131 × 72131
LCM(93763,93769) = 8792062747
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