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What is the Least Common Multiple of 95181 and 95198?

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 95181 and 95198 is 9061040838.

LCM(95181,95198) = 9061040838

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Least Common Multiple of 95181 and 95198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95181 and 95198, than apply into the LCM equation.

GCF(95181,95198) = 1
LCM(95181,95198) = ( 95181 × 95198) / 1
LCM(95181,95198) = 9061040838 / 1
LCM(95181,95198) = 9061040838

Least Common Multiple (LCM) of 95181 and 95198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95181 and 95198. First we will calculate the prime factors of 95181 and 95198.

Prime Factorization of 95181

Prime factors of 95181 are 3, 31727. Prime factorization of 95181 in exponential form is:

95181 = 31 × 317271

Prime Factorization of 95198

Prime factors of 95198 are 2, 47599. Prime factorization of 95198 in exponential form is:

95198 = 21 × 475991

Now multiplying the highest exponent prime factors to calculate the LCM of 95181 and 95198.

LCM(95181,95198) = 31 × 317271 × 21 × 475991
LCM(95181,95198) = 9061040838