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What is the Least Common Multiple of 87181 and 87193?

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 87181 and 87193 is 7601572933.

LCM(87181,87193) = 7601572933

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Least Common Multiple of 87181 and 87193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87181 and 87193, than apply into the LCM equation.

GCF(87181,87193) = 1
LCM(87181,87193) = ( 87181 × 87193) / 1
LCM(87181,87193) = 7601572933 / 1
LCM(87181,87193) = 7601572933

Least Common Multiple (LCM) of 87181 and 87193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87181 and 87193. First we will calculate the prime factors of 87181 and 87193.

Prime Factorization of 87181

Prime factors of 87181 are 87181. Prime factorization of 87181 in exponential form is:

87181 = 871811

Prime Factorization of 87193

Prime factors of 87193 are 17, 23, 223. Prime factorization of 87193 in exponential form is:

87193 = 171 × 231 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 87181 and 87193.

LCM(87181,87193) = 871811 × 171 × 231 × 2231
LCM(87181,87193) = 7601572933