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What is the Least Common Multiple of 56148 and 56161?

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 56148 and 56161 is 3153327828.

LCM(56148,56161) = 3153327828

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Least Common Multiple of 56148 and 56161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56148 and 56161, than apply into the LCM equation.

GCF(56148,56161) = 1
LCM(56148,56161) = ( 56148 × 56161) / 1
LCM(56148,56161) = 3153327828 / 1
LCM(56148,56161) = 3153327828

Least Common Multiple (LCM) of 56148 and 56161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56148 and 56161. First we will calculate the prime factors of 56148 and 56161.

Prime Factorization of 56148

Prime factors of 56148 are 2, 3, 4679. Prime factorization of 56148 in exponential form is:

56148 = 22 × 31 × 46791

Prime Factorization of 56161

Prime factors of 56161 are 7, 71, 113. Prime factorization of 56161 in exponential form is:

56161 = 71 × 711 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 56148 and 56161.

LCM(56148,56161) = 22 × 31 × 46791 × 71 × 711 × 1131
LCM(56148,56161) = 3153327828