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What is the Least Common Multiple of 68564 and 68584?

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 68564 and 68584 is 1175598344.

LCM(68564,68584) = 1175598344

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Least Common Multiple of 68564 and 68584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68564 and 68584, than apply into the LCM equation.

GCF(68564,68584) = 4
LCM(68564,68584) = ( 68564 × 68584) / 4
LCM(68564,68584) = 4702393376 / 4
LCM(68564,68584) = 1175598344

Least Common Multiple (LCM) of 68564 and 68584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68564 and 68584. First we will calculate the prime factors of 68564 and 68584.

Prime Factorization of 68564

Prime factors of 68564 are 2, 61, 281. Prime factorization of 68564 in exponential form is:

68564 = 22 × 611 × 2811

Prime Factorization of 68584

Prime factors of 68584 are 2, 8573. Prime factorization of 68584 in exponential form is:

68584 = 23 × 85731

Now multiplying the highest exponent prime factors to calculate the LCM of 68564 and 68584.

LCM(68564,68584) = 23 × 611 × 2811 × 85731
LCM(68564,68584) = 1175598344