What is the Least Common Multiple of 93945 and 93965?
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 93945 and 93965 is 1765508385.
LCM(93945,93965) = 1765508385
Least Common Multiple of 93945 and 93965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93945 and 93965, than apply into the LCM equation.
GCF(93945,93965) = 5
LCM(93945,93965) = ( 93945 × 93965) / 5
LCM(93945,93965) = 8827541925 / 5
LCM(93945,93965) = 1765508385
Least Common Multiple (LCM) of 93945 and 93965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93945 and 93965. First we will calculate the prime factors of 93945 and 93965.
Prime Factorization of 93945
Prime factors of 93945 are 3, 5, 6263. Prime factorization of 93945 in exponential form is:
93945 = 31 × 51 × 62631
Prime Factorization of 93965
Prime factors of 93965 are 5, 18793. Prime factorization of 93965 in exponential form is:
93965 = 51 × 187931
Now multiplying the highest exponent prime factors to calculate the LCM of 93945 and 93965.
LCM(93945,93965) = 31 × 51 × 62631 × 187931
LCM(93945,93965) = 1765508385
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