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What is the Least Common Multiple of 50246 and 50265?

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 50246 and 50265 is 2525615190.

LCM(50246,50265) = 2525615190

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Least Common Multiple of 50246 and 50265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50246 and 50265, than apply into the LCM equation.

GCF(50246,50265) = 1
LCM(50246,50265) = ( 50246 × 50265) / 1
LCM(50246,50265) = 2525615190 / 1
LCM(50246,50265) = 2525615190

Least Common Multiple (LCM) of 50246 and 50265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50246 and 50265. First we will calculate the prime factors of 50246 and 50265.

Prime Factorization of 50246

Prime factors of 50246 are 2, 7, 37, 97. Prime factorization of 50246 in exponential form is:

50246 = 21 × 71 × 371 × 971

Prime Factorization of 50265

Prime factors of 50265 are 3, 5, 1117. Prime factorization of 50265 in exponential form is:

50265 = 32 × 51 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 50246 and 50265.

LCM(50246,50265) = 21 × 71 × 371 × 971 × 32 × 51 × 11171
LCM(50246,50265) = 2525615190