What is the Least Common Multiple of 94639 and 94645?
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 94639 and 94645 is 8957108155.
LCM(94639,94645) = 8957108155
Least Common Multiple of 94639 and 94645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94639 and 94645, than apply into the LCM equation.
GCF(94639,94645) = 1
LCM(94639,94645) = ( 94639 × 94645) / 1
LCM(94639,94645) = 8957108155 / 1
LCM(94639,94645) = 8957108155
Least Common Multiple (LCM) of 94639 and 94645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94639 and 94645. First we will calculate the prime factors of 94639 and 94645.
Prime Factorization of 94639
Prime factors of 94639 are 17, 19, 293. Prime factorization of 94639 in exponential form is:
94639 = 171 × 191 × 2931
Prime Factorization of 94645
Prime factors of 94645 are 5, 23, 823. Prime factorization of 94645 in exponential form is:
94645 = 51 × 231 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 94639 and 94645.
LCM(94639,94645) = 171 × 191 × 2931 × 51 × 231 × 8231
LCM(94639,94645) = 8957108155
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