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What is the Least Common Multiple of 68446 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 68446 and 68459 is 4685744714.

LCM(68446,68459) = 4685744714

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Least Common Multiple of 68446 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 68446 and 68459, than apply into the LCM equation.

GCF(68446,68459) = 1
LCM(68446,68459) = ( 68446 × 68459) / 1
LCM(68446,68459) = 4685744714 / 1
LCM(68446,68459) = 4685744714

Least Common Multiple (LCM) of 68446 and 68459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68446 and 68459. First we will calculate the prime factors of 68446 and 68459.

Prime Factorization of 68446

Prime factors of 68446 are 2, 7, 4889. Prime factorization of 68446 in exponential form is:

68446 = 21 × 71 × 48891

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 68446 and 68459.

LCM(68446,68459) = 21 × 71 × 48891 × 171 × 40271
LCM(68446,68459) = 4685744714