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What is the Least Common Multiple of 90058 and 90063?

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 90058 and 90063 is 8110893654.

LCM(90058,90063) = 8110893654

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Least Common Multiple of 90058 and 90063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90058 and 90063, than apply into the LCM equation.

GCF(90058,90063) = 1
LCM(90058,90063) = ( 90058 × 90063) / 1
LCM(90058,90063) = 8110893654 / 1
LCM(90058,90063) = 8110893654

Least Common Multiple (LCM) of 90058 and 90063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90058 and 90063. First we will calculate the prime factors of 90058 and 90063.

Prime Factorization of 90058

Prime factors of 90058 are 2, 37, 1217. Prime factorization of 90058 in exponential form is:

90058 = 21 × 371 × 12171

Prime Factorization of 90063

Prime factors of 90063 are 3, 10007. Prime factorization of 90063 in exponential form is:

90063 = 32 × 100071

Now multiplying the highest exponent prime factors to calculate the LCM of 90058 and 90063.

LCM(90058,90063) = 21 × 371 × 12171 × 32 × 100071
LCM(90058,90063) = 8110893654