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What is the Least Common Multiple of 90003 and 90010?

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 90003 and 90010 is 8101170030.

LCM(90003,90010) = 8101170030

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Least Common Multiple of 90003 and 90010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90003 and 90010, than apply into the LCM equation.

GCF(90003,90010) = 1
LCM(90003,90010) = ( 90003 × 90010) / 1
LCM(90003,90010) = 8101170030 / 1
LCM(90003,90010) = 8101170030

Least Common Multiple (LCM) of 90003 and 90010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90003 and 90010. First we will calculate the prime factors of 90003 and 90010.

Prime Factorization of 90003

Prime factors of 90003 are 3, 19, 1579. Prime factorization of 90003 in exponential form is:

90003 = 31 × 191 × 15791

Prime Factorization of 90010

Prime factors of 90010 are 2, 5, 9001. Prime factorization of 90010 in exponential form is:

90010 = 21 × 51 × 90011

Now multiplying the highest exponent prime factors to calculate the LCM of 90003 and 90010.

LCM(90003,90010) = 31 × 191 × 15791 × 21 × 51 × 90011
LCM(90003,90010) = 8101170030