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What is the Least Common Multiple of 18949 and 18956?

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 18949 and 18956 is 51313892.

LCM(18949,18956) = 51313892

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Least Common Multiple of 18949 and 18956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18949 and 18956, than apply into the LCM equation.

GCF(18949,18956) = 7
LCM(18949,18956) = ( 18949 × 18956) / 7
LCM(18949,18956) = 359197244 / 7
LCM(18949,18956) = 51313892

Least Common Multiple (LCM) of 18949 and 18956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18949 and 18956. First we will calculate the prime factors of 18949 and 18956.

Prime Factorization of 18949

Prime factors of 18949 are 7, 2707. Prime factorization of 18949 in exponential form is:

18949 = 71 × 27071

Prime Factorization of 18956

Prime factors of 18956 are 2, 7, 677. Prime factorization of 18956 in exponential form is:

18956 = 22 × 71 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 18949 and 18956.

LCM(18949,18956) = 71 × 27071 × 22 × 6771
LCM(18949,18956) = 51313892