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What is the Least Common Multiple of 50983 and 51002?

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 50983 and 51002 is 2600234966.

LCM(50983,51002) = 2600234966

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Least Common Multiple of 50983 and 51002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50983 and 51002, than apply into the LCM equation.

GCF(50983,51002) = 1
LCM(50983,51002) = ( 50983 × 51002) / 1
LCM(50983,51002) = 2600234966 / 1
LCM(50983,51002) = 2600234966

Least Common Multiple (LCM) of 50983 and 51002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50983 and 51002. First we will calculate the prime factors of 50983 and 51002.

Prime Factorization of 50983

Prime factors of 50983 are 17, 2999. Prime factorization of 50983 in exponential form is:

50983 = 171 × 29991

Prime Factorization of 51002

Prime factors of 51002 are 2, 7, 3643. Prime factorization of 51002 in exponential form is:

51002 = 21 × 71 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 50983 and 51002.

LCM(50983,51002) = 171 × 29991 × 21 × 71 × 36431
LCM(50983,51002) = 2600234966