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What is the Least Common Multiple of 94156 and 94171?

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 94156 and 94171 is 8866764676.

LCM(94156,94171) = 8866764676

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Least Common Multiple of 94156 and 94171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94156 and 94171, than apply into the LCM equation.

GCF(94156,94171) = 1
LCM(94156,94171) = ( 94156 × 94171) / 1
LCM(94156,94171) = 8866764676 / 1
LCM(94156,94171) = 8866764676

Least Common Multiple (LCM) of 94156 and 94171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94156 and 94171. First we will calculate the prime factors of 94156 and 94171.

Prime Factorization of 94156

Prime factors of 94156 are 2, 23539. Prime factorization of 94156 in exponential form is:

94156 = 22 × 235391

Prime Factorization of 94171

Prime factors of 94171 are 7, 11, 1223. Prime factorization of 94171 in exponential form is:

94171 = 71 × 111 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 94156 and 94171.

LCM(94156,94171) = 22 × 235391 × 71 × 111 × 12231
LCM(94156,94171) = 8866764676