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What is the Least Common Multiple of 68944 and 68960?

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 68944 and 68960 is 297148640.

LCM(68944,68960) = 297148640

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Least Common Multiple of 68944 and 68960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68944 and 68960, than apply into the LCM equation.

GCF(68944,68960) = 16
LCM(68944,68960) = ( 68944 × 68960) / 16
LCM(68944,68960) = 4754378240 / 16
LCM(68944,68960) = 297148640

Least Common Multiple (LCM) of 68944 and 68960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68944 and 68960. First we will calculate the prime factors of 68944 and 68960.

Prime Factorization of 68944

Prime factors of 68944 are 2, 31, 139. Prime factorization of 68944 in exponential form is:

68944 = 24 × 311 × 1391

Prime Factorization of 68960

Prime factors of 68960 are 2, 5, 431. Prime factorization of 68960 in exponential form is:

68960 = 25 × 51 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 68944 and 68960.

LCM(68944,68960) = 25 × 311 × 1391 × 51 × 4311
LCM(68944,68960) = 297148640