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What is the Least Common Multiple of 68458 and 68473?

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 68458 and 68473 is 4687524634.

LCM(68458,68473) = 4687524634

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Least Common Multiple of 68458 and 68473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68458 and 68473, than apply into the LCM equation.

GCF(68458,68473) = 1
LCM(68458,68473) = ( 68458 × 68473) / 1
LCM(68458,68473) = 4687524634 / 1
LCM(68458,68473) = 4687524634

Least Common Multiple (LCM) of 68458 and 68473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68458 and 68473. First we will calculate the prime factors of 68458 and 68473.

Prime Factorization of 68458

Prime factors of 68458 are 2, 13, 2633. Prime factorization of 68458 in exponential form is:

68458 = 21 × 131 × 26331

Prime Factorization of 68473

Prime factors of 68473 are 68473. Prime factorization of 68473 in exponential form is:

68473 = 684731

Now multiplying the highest exponent prime factors to calculate the LCM of 68458 and 68473.

LCM(68458,68473) = 21 × 131 × 26331 × 684731
LCM(68458,68473) = 4687524634