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What is the Least Common Multiple of 56158 and 56166?

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 56158 and 56166 is 1577085114.

LCM(56158,56166) = 1577085114

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Least Common Multiple of 56158 and 56166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56158 and 56166, than apply into the LCM equation.

GCF(56158,56166) = 2
LCM(56158,56166) = ( 56158 × 56166) / 2
LCM(56158,56166) = 3154170228 / 2
LCM(56158,56166) = 1577085114

Least Common Multiple (LCM) of 56158 and 56166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56158 and 56166. First we will calculate the prime factors of 56158 and 56166.

Prime Factorization of 56158

Prime factors of 56158 are 2, 43, 653. Prime factorization of 56158 in exponential form is:

56158 = 21 × 431 × 6531

Prime Factorization of 56166

Prime factors of 56166 are 2, 3, 11, 23, 37. Prime factorization of 56166 in exponential form is:

56166 = 21 × 31 × 111 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 56158 and 56166.

LCM(56158,56166) = 21 × 431 × 6531 × 31 × 111 × 231 × 371
LCM(56158,56166) = 1577085114