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What is the Least Common Multiple of 94028 and 94041?

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 94028 and 94041 is 8842487148.

LCM(94028,94041) = 8842487148

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Least Common Multiple of 94028 and 94041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94028 and 94041, than apply into the LCM equation.

GCF(94028,94041) = 1
LCM(94028,94041) = ( 94028 × 94041) / 1
LCM(94028,94041) = 8842487148 / 1
LCM(94028,94041) = 8842487148

Least Common Multiple (LCM) of 94028 and 94041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94028 and 94041. First we will calculate the prime factors of 94028 and 94041.

Prime Factorization of 94028

Prime factors of 94028 are 2, 11, 2137. Prime factorization of 94028 in exponential form is:

94028 = 22 × 111 × 21371

Prime Factorization of 94041

Prime factors of 94041 are 3, 43. Prime factorization of 94041 in exponential form is:

94041 = 37 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 94028 and 94041.

LCM(94028,94041) = 22 × 111 × 21371 × 37 × 431
LCM(94028,94041) = 8842487148