What is the Least Common Multiple of 93623 and 93631?
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 93623 and 93631 is 8766015113.
LCM(93623,93631) = 8766015113
Least Common Multiple of 93623 and 93631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93623 and 93631, than apply into the LCM equation.
GCF(93623,93631) = 1
LCM(93623,93631) = ( 93623 × 93631) / 1
LCM(93623,93631) = 8766015113 / 1
LCM(93623,93631) = 8766015113
Least Common Multiple (LCM) of 93623 and 93631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93623 and 93631. First we will calculate the prime factors of 93623 and 93631.
Prime Factorization of 93623
Prime factors of 93623 are 251, 373. Prime factorization of 93623 in exponential form is:
93623 = 2511 × 3731
Prime Factorization of 93631
Prime factors of 93631 are 109, 859. Prime factorization of 93631 in exponential form is:
93631 = 1091 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 93623 and 93631.
LCM(93623,93631) = 2511 × 3731 × 1091 × 8591
LCM(93623,93631) = 8766015113
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