What is the Least Common Multiple of 94177 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 94177 and 94182 is 8869778214.
LCM(94177,94182) = 8869778214
Least Common Multiple of 94177 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 94177 and 94182, than apply into the LCM equation.
GCF(94177,94182) = 1
LCM(94177,94182) = ( 94177 × 94182) / 1
LCM(94177,94182) = 8869778214 / 1
LCM(94177,94182) = 8869778214
Least Common Multiple (LCM) of 94177 and 94182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94177 and 94182. First we will calculate the prime factors of 94177 and 94182.
Prime Factorization of 94177
Prime factors of 94177 are 41, 2297. Prime factorization of 94177 in exponential form is:
94177 = 411 × 22971
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 94177 and 94182.
LCM(94177,94182) = 411 × 22971 × 21 × 31 × 111 × 14271
LCM(94177,94182) = 8869778214
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