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What is the Least Common Multiple of 56147 and 56167?

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 56147 and 56167 is 3153608549.

LCM(56147,56167) = 3153608549

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Least Common Multiple of 56147 and 56167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56147 and 56167, than apply into the LCM equation.

GCF(56147,56167) = 1
LCM(56147,56167) = ( 56147 × 56167) / 1
LCM(56147,56167) = 3153608549 / 1
LCM(56147,56167) = 3153608549

Least Common Multiple (LCM) of 56147 and 56167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56147 and 56167. First we will calculate the prime factors of 56147 and 56167.

Prime Factorization of 56147

Prime factors of 56147 are 7, 13, 617. Prime factorization of 56147 in exponential form is:

56147 = 71 × 131 × 6171

Prime Factorization of 56167

Prime factors of 56167 are 56167. Prime factorization of 56167 in exponential form is:

56167 = 561671

Now multiplying the highest exponent prime factors to calculate the LCM of 56147 and 56167.

LCM(56147,56167) = 71 × 131 × 6171 × 561671
LCM(56147,56167) = 3153608549