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What is the Least Common Multiple of 56661 and 56681?

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 56661 and 56681 is 3211602141.

LCM(56661,56681) = 3211602141

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Least Common Multiple of 56661 and 56681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56661 and 56681, than apply into the LCM equation.

GCF(56661,56681) = 1
LCM(56661,56681) = ( 56661 × 56681) / 1
LCM(56661,56681) = 3211602141 / 1
LCM(56661,56681) = 3211602141

Least Common Multiple (LCM) of 56661 and 56681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56661 and 56681. First we will calculate the prime factors of 56661 and 56681.

Prime Factorization of 56661

Prime factors of 56661 are 3, 11, 17, 101. Prime factorization of 56661 in exponential form is:

56661 = 31 × 111 × 171 × 1011

Prime Factorization of 56681

Prime factors of 56681 are 56681. Prime factorization of 56681 in exponential form is:

56681 = 566811

Now multiplying the highest exponent prime factors to calculate the LCM of 56661 and 56681.

LCM(56661,56681) = 31 × 111 × 171 × 1011 × 566811
LCM(56661,56681) = 3211602141