What is the Least Common Multiple of 94695 and 94711?
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 94695 and 94711 is 8968658145.
LCM(94695,94711) = 8968658145
Least Common Multiple of 94695 and 94711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94695 and 94711, than apply into the LCM equation.
GCF(94695,94711) = 1
LCM(94695,94711) = ( 94695 × 94711) / 1
LCM(94695,94711) = 8968658145 / 1
LCM(94695,94711) = 8968658145
Least Common Multiple (LCM) of 94695 and 94711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94695 and 94711. First we will calculate the prime factors of 94695 and 94711.
Prime Factorization of 94695
Prime factors of 94695 are 3, 5, 59, 107. Prime factorization of 94695 in exponential form is:
94695 = 31 × 51 × 591 × 1071
Prime Factorization of 94711
Prime factors of 94711 are 53, 1787. Prime factorization of 94711 in exponential form is:
94711 = 531 × 17871
Now multiplying the highest exponent prime factors to calculate the LCM of 94695 and 94711.
LCM(94695,94711) = 31 × 51 × 591 × 1071 × 531 × 17871
LCM(94695,94711) = 8968658145
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