What is the Least Common Multiple of 94677 and 94681?
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 94677 and 94681 is 8964113037.
LCM(94677,94681) = 8964113037
Least Common Multiple of 94677 and 94681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94677 and 94681, than apply into the LCM equation.
GCF(94677,94681) = 1
LCM(94677,94681) = ( 94677 × 94681) / 1
LCM(94677,94681) = 8964113037 / 1
LCM(94677,94681) = 8964113037
Least Common Multiple (LCM) of 94677 and 94681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94677 and 94681. First we will calculate the prime factors of 94677 and 94681.
Prime Factorization of 94677
Prime factors of 94677 are 3, 11, 19, 151. Prime factorization of 94677 in exponential form is:
94677 = 31 × 111 × 191 × 1511
Prime Factorization of 94681
Prime factors of 94681 are 73, 1297. Prime factorization of 94681 in exponential form is:
94681 = 731 × 12971
Now multiplying the highest exponent prime factors to calculate the LCM of 94677 and 94681.
LCM(94677,94681) = 31 × 111 × 191 × 1511 × 731 × 12971
LCM(94677,94681) = 8964113037
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