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What is the Least Common Multiple of 68442 and 68459?

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 68442 and 68459 is 275615934.

LCM(68442,68459) = 275615934

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Least Common Multiple of 68442 and 68459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68442 and 68459, than apply into the LCM equation.

GCF(68442,68459) = 17
LCM(68442,68459) = ( 68442 × 68459) / 17
LCM(68442,68459) = 4685470878 / 17
LCM(68442,68459) = 275615934

Least Common Multiple (LCM) of 68442 and 68459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68442 and 68459. First we will calculate the prime factors of 68442 and 68459.

Prime Factorization of 68442

Prime factors of 68442 are 2, 3, 11, 17, 61. Prime factorization of 68442 in exponential form is:

68442 = 21 × 31 × 111 × 171 × 611

Prime Factorization of 68459

Prime factors of 68459 are 17, 4027. Prime factorization of 68459 in exponential form is:

68459 = 171 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 68442 and 68459.

LCM(68442,68459) = 21 × 31 × 111 × 171 × 611 × 40271
LCM(68442,68459) = 275615934