What is the Least Common Multiple of 93551 and 93555?
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 93551 and 93555 is 8752163805.
LCM(93551,93555) = 8752163805
Least Common Multiple of 93551 and 93555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93551 and 93555, than apply into the LCM equation.
GCF(93551,93555) = 1
LCM(93551,93555) = ( 93551 × 93555) / 1
LCM(93551,93555) = 8752163805 / 1
LCM(93551,93555) = 8752163805
Least Common Multiple (LCM) of 93551 and 93555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93551 and 93555. First we will calculate the prime factors of 93551 and 93555.
Prime Factorization of 93551
Prime factors of 93551 are 17, 5503. Prime factorization of 93551 in exponential form is:
93551 = 171 × 55031
Prime Factorization of 93555
Prime factors of 93555 are 3, 5, 7, 11. Prime factorization of 93555 in exponential form is:
93555 = 35 × 51 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 93551 and 93555.
LCM(93551,93555) = 171 × 55031 × 35 × 51 × 71 × 111
LCM(93551,93555) = 8752163805
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