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What is the Least Common Multiple of 10065 and 10082?

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 10065 and 10082 is 101475330.

LCM(10065,10082) = 101475330

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Least Common Multiple of 10065 and 10082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10065 and 10082, than apply into the LCM equation.

GCF(10065,10082) = 1
LCM(10065,10082) = ( 10065 × 10082) / 1
LCM(10065,10082) = 101475330 / 1
LCM(10065,10082) = 101475330

Least Common Multiple (LCM) of 10065 and 10082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10065 and 10082. First we will calculate the prime factors of 10065 and 10082.

Prime Factorization of 10065

Prime factors of 10065 are 3, 5, 11, 61. Prime factorization of 10065 in exponential form is:

10065 = 31 × 51 × 111 × 611

Prime Factorization of 10082

Prime factors of 10082 are 2, 71. Prime factorization of 10082 in exponential form is:

10082 = 21 × 712

Now multiplying the highest exponent prime factors to calculate the LCM of 10065 and 10082.

LCM(10065,10082) = 31 × 51 × 111 × 611 × 21 × 712
LCM(10065,10082) = 101475330