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What is the Least Common Multiple of 56164 and 56181?

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 56164 and 56181 is 3155349684.

LCM(56164,56181) = 3155349684

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Least Common Multiple of 56164 and 56181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56164 and 56181, than apply into the LCM equation.

GCF(56164,56181) = 1
LCM(56164,56181) = ( 56164 × 56181) / 1
LCM(56164,56181) = 3155349684 / 1
LCM(56164,56181) = 3155349684

Least Common Multiple (LCM) of 56164 and 56181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56164 and 56181. First we will calculate the prime factors of 56164 and 56181.

Prime Factorization of 56164

Prime factors of 56164 are 2, 19, 739. Prime factorization of 56164 in exponential form is:

56164 = 22 × 191 × 7391

Prime Factorization of 56181

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

56181 = 31 × 611 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 56164 and 56181.

LCM(56164,56181) = 22 × 191 × 7391 × 31 × 611 × 3071
LCM(56164,56181) = 3155349684