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What is the Least Common Multiple of 56181 and 56198?

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 56181 and 56198 is 3157259838.

LCM(56181,56198) = 3157259838

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Least Common Multiple of 56181 and 56198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56181 and 56198, than apply into the LCM equation.

GCF(56181,56198) = 1
LCM(56181,56198) = ( 56181 × 56198) / 1
LCM(56181,56198) = 3157259838 / 1
LCM(56181,56198) = 3157259838

Least Common Multiple (LCM) of 56181 and 56198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56181 and 56198. First we will calculate the prime factors of 56181 and 56198.

Prime Factorization of 56181

Prime factors of 56181 are 3, 61, 307. Prime factorization of 56181 in exponential form is:

56181 = 31 × 611 × 3071

Prime Factorization of 56198

Prime factors of 56198 are 2, 28099. Prime factorization of 56198 in exponential form is:

56198 = 21 × 280991

Now multiplying the highest exponent prime factors to calculate the LCM of 56181 and 56198.

LCM(56181,56198) = 31 × 611 × 3071 × 21 × 280991
LCM(56181,56198) = 3157259838