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What is the Least Common Multiple of 68949 and 68956?

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 68949 and 68956 is 4754447244.

LCM(68949,68956) = 4754447244

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Least Common Multiple of 68949 and 68956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68949 and 68956, than apply into the LCM equation.

GCF(68949,68956) = 1
LCM(68949,68956) = ( 68949 × 68956) / 1
LCM(68949,68956) = 4754447244 / 1
LCM(68949,68956) = 4754447244

Least Common Multiple (LCM) of 68949 and 68956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68949 and 68956. First we will calculate the prime factors of 68949 and 68956.

Prime Factorization of 68949

Prime factors of 68949 are 3, 47, 163. Prime factorization of 68949 in exponential form is:

68949 = 32 × 471 × 1631

Prime Factorization of 68956

Prime factors of 68956 are 2, 17239. Prime factorization of 68956 in exponential form is:

68956 = 22 × 172391

Now multiplying the highest exponent prime factors to calculate the LCM of 68949 and 68956.

LCM(68949,68956) = 32 × 471 × 1631 × 22 × 172391
LCM(68949,68956) = 4754447244