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What is the Least Common Multiple of 50361 and 50366?

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 50361 and 50366 is 2536482126.

LCM(50361,50366) = 2536482126

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Least Common Multiple of 50361 and 50366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50361 and 50366, than apply into the LCM equation.

GCF(50361,50366) = 1
LCM(50361,50366) = ( 50361 × 50366) / 1
LCM(50361,50366) = 2536482126 / 1
LCM(50361,50366) = 2536482126

Least Common Multiple (LCM) of 50361 and 50366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50361 and 50366. First we will calculate the prime factors of 50361 and 50366.

Prime Factorization of 50361

Prime factors of 50361 are 3, 16787. Prime factorization of 50361 in exponential form is:

50361 = 31 × 167871

Prime Factorization of 50366

Prime factors of 50366 are 2, 25183. Prime factorization of 50366 in exponential form is:

50366 = 21 × 251831

Now multiplying the highest exponent prime factors to calculate the LCM of 50361 and 50366.

LCM(50361,50366) = 31 × 167871 × 21 × 251831
LCM(50361,50366) = 2536482126