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What is the Least Common Multiple of 56149 and 56158?

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 56149 and 56158 is 3153215542.

LCM(56149,56158) = 3153215542

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Least Common Multiple of 56149 and 56158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56149 and 56158, than apply into the LCM equation.

GCF(56149,56158) = 1
LCM(56149,56158) = ( 56149 × 56158) / 1
LCM(56149,56158) = 3153215542 / 1
LCM(56149,56158) = 3153215542

Least Common Multiple (LCM) of 56149 and 56158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56149 and 56158. First we will calculate the prime factors of 56149 and 56158.

Prime Factorization of 56149

Prime factors of 56149 are 56149. Prime factorization of 56149 in exponential form is:

56149 = 561491

Prime Factorization of 56158

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

56158 = 21 × 431 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 56149 and 56158.

LCM(56149,56158) = 561491 × 21 × 431 × 6531
LCM(56149,56158) = 3153215542