What is the Least Common Multiple of 94383 and 94402?
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 94383 and 94402 is 8909943966.
LCM(94383,94402) = 8909943966
Least Common Multiple of 94383 and 94402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94383 and 94402, than apply into the LCM equation.
GCF(94383,94402) = 1
LCM(94383,94402) = ( 94383 × 94402) / 1
LCM(94383,94402) = 8909943966 / 1
LCM(94383,94402) = 8909943966
Least Common Multiple (LCM) of 94383 and 94402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94383 and 94402. First we will calculate the prime factors of 94383 and 94402.
Prime Factorization of 94383
Prime factors of 94383 are 3, 10487. Prime factorization of 94383 in exponential form is:
94383 = 32 × 104871
Prime Factorization of 94402
Prime factors of 94402 are 2, 7, 11, 613. Prime factorization of 94402 in exponential form is:
94402 = 21 × 71 × 111 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 94383 and 94402.
LCM(94383,94402) = 32 × 104871 × 21 × 71 × 111 × 6131
LCM(94383,94402) = 8909943966
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