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What is the Least Common Multiple of 61181 and 61189?

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 61181 and 61189 is 3743604209.

LCM(61181,61189) = 3743604209

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Least Common Multiple of 61181 and 61189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61181 and 61189, than apply into the LCM equation.

GCF(61181,61189) = 1
LCM(61181,61189) = ( 61181 × 61189) / 1
LCM(61181,61189) = 3743604209 / 1
LCM(61181,61189) = 3743604209

Least Common Multiple (LCM) of 61181 and 61189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61181 and 61189. First we will calculate the prime factors of 61181 and 61189.

Prime Factorization of 61181

Prime factors of 61181 are 193, 317. Prime factorization of 61181 in exponential form is:

61181 = 1931 × 3171

Prime Factorization of 61189

Prime factors of 61189 are 43, 1423. Prime factorization of 61189 in exponential form is:

61189 = 431 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 61181 and 61189.

LCM(61181,61189) = 1931 × 3171 × 431 × 14231
LCM(61181,61189) = 3743604209