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What is the Least Common Multiple of 68565 and 68571?

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 68565 and 68571 is 1567190205.

LCM(68565,68571) = 1567190205

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Least Common Multiple of 68565 and 68571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68565 and 68571, than apply into the LCM equation.

GCF(68565,68571) = 3
LCM(68565,68571) = ( 68565 × 68571) / 3
LCM(68565,68571) = 4701570615 / 3
LCM(68565,68571) = 1567190205

Least Common Multiple (LCM) of 68565 and 68571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68565 and 68571. First we will calculate the prime factors of 68565 and 68571.

Prime Factorization of 68565

Prime factors of 68565 are 3, 5, 7, 653. Prime factorization of 68565 in exponential form is:

68565 = 31 × 51 × 71 × 6531

Prime Factorization of 68571

Prime factors of 68571 are 3, 19, 401. Prime factorization of 68571 in exponential form is:

68571 = 32 × 191 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 68565 and 68571.

LCM(68565,68571) = 32 × 51 × 71 × 6531 × 191 × 4011
LCM(68565,68571) = 1567190205