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What is the Least Common Multiple of 94041 and 94052?

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 94041 and 94052 is 8844744132.

LCM(94041,94052) = 8844744132

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Least Common Multiple of 94041 and 94052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94041 and 94052, than apply into the LCM equation.

GCF(94041,94052) = 1
LCM(94041,94052) = ( 94041 × 94052) / 1
LCM(94041,94052) = 8844744132 / 1
LCM(94041,94052) = 8844744132

Least Common Multiple (LCM) of 94041 and 94052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94041 and 94052. First we will calculate the prime factors of 94041 and 94052.

Prime Factorization of 94041

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

94041 = 37 × 431

Prime Factorization of 94052

Prime factors of 94052 are 2, 7, 3359. Prime factorization of 94052 in exponential form is:

94052 = 22 × 71 × 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 94041 and 94052.

LCM(94041,94052) = 37 × 431 × 22 × 71 × 33591
LCM(94041,94052) = 8844744132