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What is the Least Common Multiple of 10120 and 10135?

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 10120 and 10135 is 20513240.

LCM(10120,10135) = 20513240

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Least Common Multiple of 10120 and 10135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10120 and 10135, than apply into the LCM equation.

GCF(10120,10135) = 5
LCM(10120,10135) = ( 10120 × 10135) / 5
LCM(10120,10135) = 102566200 / 5
LCM(10120,10135) = 20513240

Least Common Multiple (LCM) of 10120 and 10135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10120 and 10135. First we will calculate the prime factors of 10120 and 10135.

Prime Factorization of 10120

Prime factors of 10120 are 2, 5, 11, 23. Prime factorization of 10120 in exponential form is:

10120 = 23 × 51 × 111 × 231

Prime Factorization of 10135

Prime factors of 10135 are 5, 2027. Prime factorization of 10135 in exponential form is:

10135 = 51 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 10120 and 10135.

LCM(10120,10135) = 23 × 51 × 111 × 231 × 20271
LCM(10120,10135) = 20513240