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What is the Least Common Multiple of 86058 and 86062?

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 86058 and 86062 is 3703161798.

LCM(86058,86062) = 3703161798

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Least Common Multiple of 86058 and 86062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86058 and 86062, than apply into the LCM equation.

GCF(86058,86062) = 2
LCM(86058,86062) = ( 86058 × 86062) / 2
LCM(86058,86062) = 7406323596 / 2
LCM(86058,86062) = 3703161798

Least Common Multiple (LCM) of 86058 and 86062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86058 and 86062. First we will calculate the prime factors of 86058 and 86062.

Prime Factorization of 86058

Prime factors of 86058 are 2, 3, 7, 683. Prime factorization of 86058 in exponential form is:

86058 = 21 × 32 × 71 × 6831

Prime Factorization of 86062

Prime factors of 86062 are 2, 37, 1163. Prime factorization of 86062 in exponential form is:

86062 = 21 × 371 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 86058 and 86062.

LCM(86058,86062) = 21 × 32 × 71 × 6831 × 371 × 11631
LCM(86058,86062) = 3703161798