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What is the Least Common Multiple of 86229 and 86241?

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 86229 and 86241 is 2478825063.

LCM(86229,86241) = 2478825063

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Least Common Multiple of 86229 and 86241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86229 and 86241, than apply into the LCM equation.

GCF(86229,86241) = 3
LCM(86229,86241) = ( 86229 × 86241) / 3
LCM(86229,86241) = 7436475189 / 3
LCM(86229,86241) = 2478825063

Least Common Multiple (LCM) of 86229 and 86241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86229 and 86241. First we will calculate the prime factors of 86229 and 86241.

Prime Factorization of 86229

Prime factors of 86229 are 3, 11, 13, 67. Prime factorization of 86229 in exponential form is:

86229 = 32 × 111 × 131 × 671

Prime Factorization of 86241

Prime factors of 86241 are 3, 17, 19, 89. Prime factorization of 86241 in exponential form is:

86241 = 31 × 171 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 86229 and 86241.

LCM(86229,86241) = 32 × 111 × 131 × 671 × 171 × 191 × 891
LCM(86229,86241) = 2478825063

Related Least Common Multiples of 86229

Related Least Common Multiples of 86241