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What is the Least Common Multiple of 50146 and 50153?

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 50146 and 50153 is 2514972338.

LCM(50146,50153) = 2514972338

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Least Common Multiple of 50146 and 50153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50146 and 50153, than apply into the LCM equation.

GCF(50146,50153) = 1
LCM(50146,50153) = ( 50146 × 50153) / 1
LCM(50146,50153) = 2514972338 / 1
LCM(50146,50153) = 2514972338

Least Common Multiple (LCM) of 50146 and 50153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50146 and 50153. First we will calculate the prime factors of 50146 and 50153.

Prime Factorization of 50146

Prime factors of 50146 are 2, 25073. Prime factorization of 50146 in exponential form is:

50146 = 21 × 250731

Prime Factorization of 50153

Prime factors of 50153 are 50153. Prime factorization of 50153 in exponential form is:

50153 = 501531

Now multiplying the highest exponent prime factors to calculate the LCM of 50146 and 50153.

LCM(50146,50153) = 21 × 250731 × 501531
LCM(50146,50153) = 2514972338