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What is the Least Common Multiple of 96406 and 96411?

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 96406 and 96411 is 9294598866.

LCM(96406,96411) = 9294598866

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Least Common Multiple of 96406 and 96411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96406 and 96411, than apply into the LCM equation.

GCF(96406,96411) = 1
LCM(96406,96411) = ( 96406 × 96411) / 1
LCM(96406,96411) = 9294598866 / 1
LCM(96406,96411) = 9294598866

Least Common Multiple (LCM) of 96406 and 96411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96406 and 96411. First we will calculate the prime factors of 96406 and 96411.

Prime Factorization of 96406

Prime factors of 96406 are 2, 19, 43, 59. Prime factorization of 96406 in exponential form is:

96406 = 21 × 191 × 431 × 591

Prime Factorization of 96411

Prime factors of 96411 are 3, 7, 4591. Prime factorization of 96411 in exponential form is:

96411 = 31 × 71 × 45911

Now multiplying the highest exponent prime factors to calculate the LCM of 96406 and 96411.

LCM(96406,96411) = 21 × 191 × 431 × 591 × 31 × 71 × 45911
LCM(96406,96411) = 9294598866