What is the Least Common Multiple of 94163 and 94176?
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 94163 and 94176 is 8867894688.
LCM(94163,94176) = 8867894688
Least Common Multiple of 94163 and 94176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94163 and 94176, than apply into the LCM equation.
GCF(94163,94176) = 1
LCM(94163,94176) = ( 94163 × 94176) / 1
LCM(94163,94176) = 8867894688 / 1
LCM(94163,94176) = 8867894688
Least Common Multiple (LCM) of 94163 and 94176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94163 and 94176. First we will calculate the prime factors of 94163 and 94176.
Prime Factorization of 94163
Prime factors of 94163 are 17, 29, 191. Prime factorization of 94163 in exponential form is:
94163 = 171 × 291 × 1911
Prime Factorization of 94176
Prime factors of 94176 are 2, 3, 109. Prime factorization of 94176 in exponential form is:
94176 = 25 × 33 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 94163 and 94176.
LCM(94163,94176) = 171 × 291 × 1911 × 25 × 33 × 1091
LCM(94163,94176) = 8867894688
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