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What is the Least Common Multiple of 68266 and 68285?

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 68266 and 68285 is 4661543810.

LCM(68266,68285) = 4661543810

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Least Common Multiple of 68266 and 68285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68266 and 68285, than apply into the LCM equation.

GCF(68266,68285) = 1
LCM(68266,68285) = ( 68266 × 68285) / 1
LCM(68266,68285) = 4661543810 / 1
LCM(68266,68285) = 4661543810

Least Common Multiple (LCM) of 68266 and 68285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68266 and 68285. First we will calculate the prime factors of 68266 and 68285.

Prime Factorization of 68266

Prime factors of 68266 are 2, 11, 29, 107. Prime factorization of 68266 in exponential form is:

68266 = 21 × 111 × 291 × 1071

Prime Factorization of 68285

Prime factors of 68285 are 5, 7, 1951. Prime factorization of 68285 in exponential form is:

68285 = 51 × 71 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 68266 and 68285.

LCM(68266,68285) = 21 × 111 × 291 × 1071 × 51 × 71 × 19511
LCM(68266,68285) = 4661543810