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What is the Least Common Multiple of 96041 and 96046?

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 96041 and 96046 is 9224353886.

LCM(96041,96046) = 9224353886

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Least Common Multiple of 96041 and 96046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96041 and 96046, than apply into the LCM equation.

GCF(96041,96046) = 1
LCM(96041,96046) = ( 96041 × 96046) / 1
LCM(96041,96046) = 9224353886 / 1
LCM(96041,96046) = 9224353886

Least Common Multiple (LCM) of 96041 and 96046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96041 and 96046. First we will calculate the prime factors of 96041 and 96046.

Prime Factorization of 96041

Prime factors of 96041 are 11, 8731. Prime factorization of 96041 in exponential form is:

96041 = 111 × 87311

Prime Factorization of 96046

Prime factors of 96046 are 2, 48023. Prime factorization of 96046 in exponential form is:

96046 = 21 × 480231

Now multiplying the highest exponent prime factors to calculate the LCM of 96041 and 96046.

LCM(96041,96046) = 111 × 87311 × 21 × 480231
LCM(96041,96046) = 9224353886