What is the Least Common Multiple of 94673 and 94682?
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 94673 and 94682 is 8963828986.
LCM(94673,94682) = 8963828986
Least Common Multiple of 94673 and 94682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94673 and 94682, than apply into the LCM equation.
GCF(94673,94682) = 1
LCM(94673,94682) = ( 94673 × 94682) / 1
LCM(94673,94682) = 8963828986 / 1
LCM(94673,94682) = 8963828986
Least Common Multiple (LCM) of 94673 and 94682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94673 and 94682. First we will calculate the prime factors of 94673 and 94682.
Prime Factorization of 94673
Prime factors of 94673 are 17, 5569. Prime factorization of 94673 in exponential form is:
94673 = 171 × 55691
Prime Factorization of 94682
Prime factors of 94682 are 2, 7, 6763. Prime factorization of 94682 in exponential form is:
94682 = 21 × 71 × 67631
Now multiplying the highest exponent prime factors to calculate the LCM of 94673 and 94682.
LCM(94673,94682) = 171 × 55691 × 21 × 71 × 67631
LCM(94673,94682) = 8963828986
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