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What is the Least Common Multiple of 50155 and 50163?

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 50155 and 50163 is 2515925265.

LCM(50155,50163) = 2515925265

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Least Common Multiple of 50155 and 50163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50155 and 50163, than apply into the LCM equation.

GCF(50155,50163) = 1
LCM(50155,50163) = ( 50155 × 50163) / 1
LCM(50155,50163) = 2515925265 / 1
LCM(50155,50163) = 2515925265

Least Common Multiple (LCM) of 50155 and 50163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50155 and 50163. First we will calculate the prime factors of 50155 and 50163.

Prime Factorization of 50155

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

50155 = 51 × 71 × 14331

Prime Factorization of 50163

Prime factors of 50163 are 3, 23, 727. Prime factorization of 50163 in exponential form is:

50163 = 31 × 231 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 50155 and 50163.

LCM(50155,50163) = 51 × 71 × 14331 × 31 × 231 × 7271
LCM(50155,50163) = 2515925265