What is the Least Common Multiple of 94716 and 94721?
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 94716 and 94721 is 8971594236.
LCM(94716,94721) = 8971594236
Least Common Multiple of 94716 and 94721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94716 and 94721, than apply into the LCM equation.
GCF(94716,94721) = 1
LCM(94716,94721) = ( 94716 × 94721) / 1
LCM(94716,94721) = 8971594236 / 1
LCM(94716,94721) = 8971594236
Least Common Multiple (LCM) of 94716 and 94721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94716 and 94721. First we will calculate the prime factors of 94716 and 94721.
Prime Factorization of 94716
Prime factors of 94716 are 2, 3, 877. Prime factorization of 94716 in exponential form is:
94716 = 22 × 33 × 8771
Prime Factorization of 94721
Prime factors of 94721 are 11, 79, 109. Prime factorization of 94721 in exponential form is:
94721 = 111 × 791 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 94716 and 94721.
LCM(94716,94721) = 22 × 33 × 8771 × 111 × 791 × 1091
LCM(94716,94721) = 8971594236
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