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What is the Least Common Multiple of 68938 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 68938 and 68956 is 2376844364.

LCM(68938,68956) = 2376844364

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Least Common Multiple of 68938 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 68938 and 68956, than apply into the LCM equation.

GCF(68938,68956) = 2
LCM(68938,68956) = ( 68938 × 68956) / 2
LCM(68938,68956) = 4753688728 / 2
LCM(68938,68956) = 2376844364

Least Common Multiple (LCM) of 68938 and 68956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68938 and 68956. First we will calculate the prime factors of 68938 and 68956.

Prime Factorization of 68938

Prime factors of 68938 are 2, 34469. Prime factorization of 68938 in exponential form is:

68938 = 21 × 344691

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 68938 and 68956.

LCM(68938,68956) = 22 × 344691 × 172391
LCM(68938,68956) = 2376844364