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What is the Least Common Multiple of 86433 and 86438?

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 86433 and 86438 is 7471095654.

LCM(86433,86438) = 7471095654

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Least Common Multiple of 86433 and 86438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86433 and 86438, than apply into the LCM equation.

GCF(86433,86438) = 1
LCM(86433,86438) = ( 86433 × 86438) / 1
LCM(86433,86438) = 7471095654 / 1
LCM(86433,86438) = 7471095654

Least Common Multiple (LCM) of 86433 and 86438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86433 and 86438. First we will calculate the prime factors of 86433 and 86438.

Prime Factorization of 86433

Prime factors of 86433 are 3, 47, 613. Prime factorization of 86433 in exponential form is:

86433 = 31 × 471 × 6131

Prime Factorization of 86438

Prime factors of 86438 are 2, 11, 3929. Prime factorization of 86438 in exponential form is:

86438 = 21 × 111 × 39291

Now multiplying the highest exponent prime factors to calculate the LCM of 86433 and 86438.

LCM(86433,86438) = 31 × 471 × 6131 × 21 × 111 × 39291
LCM(86433,86438) = 7471095654