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What is the Least Common Multiple of 50981 and 50992?

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 50981 and 50992 is 2599623152.

LCM(50981,50992) = 2599623152

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Least Common Multiple of 50981 and 50992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50981 and 50992, than apply into the LCM equation.

GCF(50981,50992) = 1
LCM(50981,50992) = ( 50981 × 50992) / 1
LCM(50981,50992) = 2599623152 / 1
LCM(50981,50992) = 2599623152

Least Common Multiple (LCM) of 50981 and 50992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50981 and 50992. First we will calculate the prime factors of 50981 and 50992.

Prime Factorization of 50981

Prime factors of 50981 are 7, 7283. Prime factorization of 50981 in exponential form is:

50981 = 71 × 72831

Prime Factorization of 50992

Prime factors of 50992 are 2, 3187. Prime factorization of 50992 in exponential form is:

50992 = 24 × 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 50981 and 50992.

LCM(50981,50992) = 71 × 72831 × 24 × 31871
LCM(50981,50992) = 2599623152