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What is the Least Common Multiple of 10030 and 10036?

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 10030 and 10036 is 50330540.

LCM(10030,10036) = 50330540

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Least Common Multiple of 10030 and 10036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10030 and 10036, than apply into the LCM equation.

GCF(10030,10036) = 2
LCM(10030,10036) = ( 10030 × 10036) / 2
LCM(10030,10036) = 100661080 / 2
LCM(10030,10036) = 50330540

Least Common Multiple (LCM) of 10030 and 10036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10030 and 10036. First we will calculate the prime factors of 10030 and 10036.

Prime Factorization of 10030

Prime factors of 10030 are 2, 5, 17, 59. Prime factorization of 10030 in exponential form is:

10030 = 21 × 51 × 171 × 591

Prime Factorization of 10036

Prime factors of 10036 are 2, 13, 193. Prime factorization of 10036 in exponential form is:

10036 = 22 × 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10030 and 10036.

LCM(10030,10036) = 22 × 51 × 171 × 591 × 131 × 1931
LCM(10030,10036) = 50330540