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What is the Least Common Multiple of 42502 and 42510?

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 42502 and 42510 is 903380010.

LCM(42502,42510) = 903380010

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Least Common Multiple of 42502 and 42510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42502 and 42510, than apply into the LCM equation.

GCF(42502,42510) = 2
LCM(42502,42510) = ( 42502 × 42510) / 2
LCM(42502,42510) = 1806760020 / 2
LCM(42502,42510) = 903380010

Least Common Multiple (LCM) of 42502 and 42510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42502 and 42510. First we will calculate the prime factors of 42502 and 42510.

Prime Factorization of 42502

Prime factors of 42502 are 2, 79, 269. Prime factorization of 42502 in exponential form is:

42502 = 21 × 791 × 2691

Prime Factorization of 42510

Prime factors of 42510 are 2, 3, 5, 13, 109. Prime factorization of 42510 in exponential form is:

42510 = 21 × 31 × 51 × 131 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 42502 and 42510.

LCM(42502,42510) = 21 × 791 × 2691 × 31 × 51 × 131 × 1091
LCM(42502,42510) = 903380010