What is the Least Common Multiple of 94365 and 94385?
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 94365 and 94385 is 1781328105.
LCM(94365,94385) = 1781328105
Least Common Multiple of 94365 and 94385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94365 and 94385, than apply into the LCM equation.
GCF(94365,94385) = 5
LCM(94365,94385) = ( 94365 × 94385) / 5
LCM(94365,94385) = 8906640525 / 5
LCM(94365,94385) = 1781328105
Least Common Multiple (LCM) of 94365 and 94385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94365 and 94385. First we will calculate the prime factors of 94365 and 94385.
Prime Factorization of 94365
Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:
94365 = 34 × 51 × 2331
Prime Factorization of 94385
Prime factors of 94385 are 5, 43, 439. Prime factorization of 94385 in exponential form is:
94385 = 51 × 431 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 94365 and 94385.
LCM(94365,94385) = 34 × 51 × 2331 × 431 × 4391
LCM(94365,94385) = 1781328105
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