What is the Least Common Multiple of 93393 and 93411?
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 93393 and 93411 is 969325947.
LCM(93393,93411) = 969325947
Least Common Multiple of 93393 and 93411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93393 and 93411, than apply into the LCM equation.
GCF(93393,93411) = 9
LCM(93393,93411) = ( 93393 × 93411) / 9
LCM(93393,93411) = 8723933523 / 9
LCM(93393,93411) = 969325947
Least Common Multiple (LCM) of 93393 and 93411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93393 and 93411. First we will calculate the prime factors of 93393 and 93411.
Prime Factorization of 93393
Prime factors of 93393 are 3, 1153. Prime factorization of 93393 in exponential form is:
93393 = 34 × 11531
Prime Factorization of 93411
Prime factors of 93411 are 3, 97, 107. Prime factorization of 93411 in exponential form is:
93411 = 32 × 971 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 93393 and 93411.
LCM(93393,93411) = 34 × 11531 × 971 × 1071
LCM(93393,93411) = 969325947
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