What is the Least Common Multiple of 93651 and 93655?
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 93651 and 93655 is 8770884405.
LCM(93651,93655) = 8770884405
Least Common Multiple of 93651 and 93655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93651 and 93655, than apply into the LCM equation.
GCF(93651,93655) = 1
LCM(93651,93655) = ( 93651 × 93655) / 1
LCM(93651,93655) = 8770884405 / 1
LCM(93651,93655) = 8770884405
Least Common Multiple (LCM) of 93651 and 93655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93651 and 93655. First we will calculate the prime factors of 93651 and 93655.
Prime Factorization of 93651
Prime factors of 93651 are 3, 19, 31, 53. Prime factorization of 93651 in exponential form is:
93651 = 31 × 191 × 311 × 531
Prime Factorization of 93655
Prime factors of 93655 are 5, 18731. Prime factorization of 93655 in exponential form is:
93655 = 51 × 187311
Now multiplying the highest exponent prime factors to calculate the LCM of 93651 and 93655.
LCM(93651,93655) = 31 × 191 × 311 × 531 × 51 × 187311
LCM(93651,93655) = 8770884405
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