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What is the Least Common Multiple of 50137 and 50155?

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 50137 and 50155 is 2514621235.

LCM(50137,50155) = 2514621235

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Least Common Multiple of 50137 and 50155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50137 and 50155, than apply into the LCM equation.

GCF(50137,50155) = 1
LCM(50137,50155) = ( 50137 × 50155) / 1
LCM(50137,50155) = 2514621235 / 1
LCM(50137,50155) = 2514621235

Least Common Multiple (LCM) of 50137 and 50155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50137 and 50155. First we will calculate the prime factors of 50137 and 50155.

Prime Factorization of 50137

Prime factors of 50137 are 181, 277. Prime factorization of 50137 in exponential form is:

50137 = 1811 × 2771

Prime Factorization of 50155

Prime factors of 50155 are 5, 7, 1433. Prime factorization of 50155 in exponential form is:

50155 = 51 × 71 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 50137 and 50155.

LCM(50137,50155) = 1811 × 2771 × 51 × 71 × 14331
LCM(50137,50155) = 2514621235