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What is the Least Common Multiple of 10052 and 10061?

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 10052 and 10061 is 101133172.

LCM(10052,10061) = 101133172

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Least Common Multiple of 10052 and 10061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10052 and 10061, than apply into the LCM equation.

GCF(10052,10061) = 1
LCM(10052,10061) = ( 10052 × 10061) / 1
LCM(10052,10061) = 101133172 / 1
LCM(10052,10061) = 101133172

Least Common Multiple (LCM) of 10052 and 10061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10052 and 10061. First we will calculate the prime factors of 10052 and 10061.

Prime Factorization of 10052

Prime factors of 10052 are 2, 7, 359. Prime factorization of 10052 in exponential form is:

10052 = 22 × 71 × 3591

Prime Factorization of 10061

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

10061 = 100611

Now multiplying the highest exponent prime factors to calculate the LCM of 10052 and 10061.

LCM(10052,10061) = 22 × 71 × 3591 × 100611
LCM(10052,10061) = 101133172