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What is the Least Common Multiple of 50992 and 50998?

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 50992 and 50998 is 1300245008.

LCM(50992,50998) = 1300245008

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Least Common Multiple of 50992 and 50998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50992 and 50998, than apply into the LCM equation.

GCF(50992,50998) = 2
LCM(50992,50998) = ( 50992 × 50998) / 2
LCM(50992,50998) = 2600490016 / 2
LCM(50992,50998) = 1300245008

Least Common Multiple (LCM) of 50992 and 50998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50992 and 50998. First we will calculate the prime factors of 50992 and 50998.

Prime Factorization of 50992

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

50992 = 24 × 31871

Prime Factorization of 50998

Prime factors of 50998 are 2, 43, 593. Prime factorization of 50998 in exponential form is:

50998 = 21 × 431 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 50992 and 50998.

LCM(50992,50998) = 24 × 31871 × 431 × 5931
LCM(50992,50998) = 1300245008