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What is the Least Common Multiple of 50182 and 50193?

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 50182 and 50193 is 228980466.

LCM(50182,50193) = 228980466

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Least Common Multiple of 50182 and 50193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50182 and 50193, than apply into the LCM equation.

GCF(50182,50193) = 11
LCM(50182,50193) = ( 50182 × 50193) / 11
LCM(50182,50193) = 2518785126 / 11
LCM(50182,50193) = 228980466

Least Common Multiple (LCM) of 50182 and 50193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50182 and 50193. First we will calculate the prime factors of 50182 and 50193.

Prime Factorization of 50182

Prime factors of 50182 are 2, 11, 2281. Prime factorization of 50182 in exponential form is:

50182 = 21 × 111 × 22811

Prime Factorization of 50193

Prime factors of 50193 are 3, 11, 13. Prime factorization of 50193 in exponential form is:

50193 = 33 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 50182 and 50193.

LCM(50182,50193) = 21 × 111 × 22811 × 33 × 132
LCM(50182,50193) = 228980466