What is the Least Common Multiple of 94163 and 94182?
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 94182 is 8868459666.
LCM(94163,94182) = 8868459666
Least Common Multiple of 94163 and 94182 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 94182, than apply into the LCM equation.
GCF(94163,94182) = 1
LCM(94163,94182) = ( 94163 × 94182) / 1
LCM(94163,94182) = 8868459666 / 1
LCM(94163,94182) = 8868459666
Least Common Multiple (LCM) of 94163 and 94182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94163 and 94182. First we will calculate the prime factors of 94163 and 94182.
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 94182
Prime factors of 94182 are 2, 3, 11, 1427. Prime factorization of 94182 in exponential form is:
94182 = 21 × 31 × 111 × 14271
Now multiplying the highest exponent prime factors to calculate the LCM of 94163 and 94182.
LCM(94163,94182) = 171 × 291 × 1911 × 21 × 31 × 111 × 14271
LCM(94163,94182) = 8868459666
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