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What is the Least Common Multiple of 61156 and 61163?

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 61156 and 61163 is 3740484428.

LCM(61156,61163) = 3740484428

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Least Common Multiple of 61156 and 61163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61156 and 61163, than apply into the LCM equation.

GCF(61156,61163) = 1
LCM(61156,61163) = ( 61156 × 61163) / 1
LCM(61156,61163) = 3740484428 / 1
LCM(61156,61163) = 3740484428

Least Common Multiple (LCM) of 61156 and 61163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61156 and 61163. First we will calculate the prime factors of 61156 and 61163.

Prime Factorization of 61156

Prime factors of 61156 are 2, 15289. Prime factorization of 61156 in exponential form is:

61156 = 22 × 152891

Prime Factorization of 61163

Prime factors of 61163 are 31, 1973. Prime factorization of 61163 in exponential form is:

61163 = 311 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 61156 and 61163.

LCM(61156,61163) = 22 × 152891 × 311 × 19731
LCM(61156,61163) = 3740484428