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What is the Least Common Multiple of 42511 and 42519?

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 42511 and 42519 is 1807525209.

LCM(42511,42519) = 1807525209

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Least Common Multiple of 42511 and 42519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42511 and 42519, than apply into the LCM equation.

GCF(42511,42519) = 1
LCM(42511,42519) = ( 42511 × 42519) / 1
LCM(42511,42519) = 1807525209 / 1
LCM(42511,42519) = 1807525209

Least Common Multiple (LCM) of 42511 and 42519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42511 and 42519. First we will calculate the prime factors of 42511 and 42519.

Prime Factorization of 42511

Prime factors of 42511 are 7, 6073. Prime factorization of 42511 in exponential form is:

42511 = 71 × 60731

Prime Factorization of 42519

Prime factors of 42519 are 3, 14173. Prime factorization of 42519 in exponential form is:

42519 = 31 × 141731

Now multiplying the highest exponent prime factors to calculate the LCM of 42511 and 42519.

LCM(42511,42519) = 71 × 60731 × 31 × 141731
LCM(42511,42519) = 1807525209