What is the Least Common Multiple of 94349 and 94365?
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 94349 and 94365 is 8903243385.
LCM(94349,94365) = 8903243385
Least Common Multiple of 94349 and 94365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94349 and 94365, than apply into the LCM equation.
GCF(94349,94365) = 1
LCM(94349,94365) = ( 94349 × 94365) / 1
LCM(94349,94365) = 8903243385 / 1
LCM(94349,94365) = 8903243385
Least Common Multiple (LCM) of 94349 and 94365 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94349 and 94365. First we will calculate the prime factors of 94349 and 94365.
Prime Factorization of 94349
Prime factors of 94349 are 94349. Prime factorization of 94349 in exponential form is:
94349 = 943491
Prime Factorization of 94365
Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:
94365 = 34 × 51 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 94349 and 94365.
LCM(94349,94365) = 943491 × 34 × 51 × 2331
LCM(94349,94365) = 8903243385
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