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What is the Least Common Multiple of 10061 and 10080?

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 10061 and 10080 is 101414880.

LCM(10061,10080) = 101414880

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Least Common Multiple of 10061 and 10080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10061 and 10080, than apply into the LCM equation.

GCF(10061,10080) = 1
LCM(10061,10080) = ( 10061 × 10080) / 1
LCM(10061,10080) = 101414880 / 1
LCM(10061,10080) = 101414880

Least Common Multiple (LCM) of 10061 and 10080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10061 and 10080. First we will calculate the prime factors of 10061 and 10080.

Prime Factorization of 10061

Prime factors of 10061 are 10061. Prime factorization of 10061 in exponential form is:

10061 = 100611

Prime Factorization of 10080

Prime factors of 10080 are 2, 3, 5, 7. Prime factorization of 10080 in exponential form is:

10080 = 25 × 32 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 10061 and 10080.

LCM(10061,10080) = 100611 × 25 × 32 × 51 × 71
LCM(10061,10080) = 101414880