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What is the Least Common Multiple of 94029 and 94043?

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 94029 and 94043 is 8842769247.

LCM(94029,94043) = 8842769247

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Least Common Multiple of 94029 and 94043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94029 and 94043, than apply into the LCM equation.

GCF(94029,94043) = 1
LCM(94029,94043) = ( 94029 × 94043) / 1
LCM(94029,94043) = 8842769247 / 1
LCM(94029,94043) = 8842769247

Least Common Multiple (LCM) of 94029 and 94043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94029 and 94043. First we will calculate the prime factors of 94029 and 94043.

Prime Factorization of 94029

Prime factors of 94029 are 3, 13, 2411. Prime factorization of 94029 in exponential form is:

94029 = 31 × 131 × 24111

Prime Factorization of 94043

Prime factors of 94043 are 157, 599. Prime factorization of 94043 in exponential form is:

94043 = 1571 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 94029 and 94043.

LCM(94029,94043) = 31 × 131 × 24111 × 1571 × 5991
LCM(94029,94043) = 8842769247