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What is the Least Common Multiple of 68928 and 68938?

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 68928 and 68938 is 2375879232.

LCM(68928,68938) = 2375879232

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Least Common Multiple of 68928 and 68938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68928 and 68938, than apply into the LCM equation.

GCF(68928,68938) = 2
LCM(68928,68938) = ( 68928 × 68938) / 2
LCM(68928,68938) = 4751758464 / 2
LCM(68928,68938) = 2375879232

Least Common Multiple (LCM) of 68928 and 68938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68928 and 68938. First we will calculate the prime factors of 68928 and 68938.

Prime Factorization of 68928

Prime factors of 68928 are 2, 3, 359. Prime factorization of 68928 in exponential form is:

68928 = 26 × 31 × 3591

Prime Factorization of 68938

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

68938 = 21 × 344691

Now multiplying the highest exponent prime factors to calculate the LCM of 68928 and 68938.

LCM(68928,68938) = 26 × 31 × 3591 × 344691
LCM(68928,68938) = 2375879232