What is the Least Common Multiple of 94443 and 94463?
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 94443 and 94463 is 8921369109.
LCM(94443,94463) = 8921369109
Least Common Multiple of 94443 and 94463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94443 and 94463, than apply into the LCM equation.
GCF(94443,94463) = 1
LCM(94443,94463) = ( 94443 × 94463) / 1
LCM(94443,94463) = 8921369109 / 1
LCM(94443,94463) = 8921369109
Least Common Multiple (LCM) of 94443 and 94463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94443 and 94463. First we will calculate the prime factors of 94443 and 94463.
Prime Factorization of 94443
Prime factors of 94443 are 3, 31481. Prime factorization of 94443 in exponential form is:
94443 = 31 × 314811
Prime Factorization of 94463
Prime factors of 94463 are 94463. Prime factorization of 94463 in exponential form is:
94463 = 944631
Now multiplying the highest exponent prime factors to calculate the LCM of 94443 and 94463.
LCM(94443,94463) = 31 × 314811 × 944631
LCM(94443,94463) = 8921369109
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