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What is the Least Common Multiple of 63086 and 63090?

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 63086 and 63090 is 1990047870.

LCM(63086,63090) = 1990047870

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Least Common Multiple of 63086 and 63090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63086 and 63090, than apply into the LCM equation.

GCF(63086,63090) = 2
LCM(63086,63090) = ( 63086 × 63090) / 2
LCM(63086,63090) = 3980095740 / 2
LCM(63086,63090) = 1990047870

Least Common Multiple (LCM) of 63086 and 63090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63086 and 63090. First we will calculate the prime factors of 63086 and 63090.

Prime Factorization of 63086

Prime factors of 63086 are 2, 31543. Prime factorization of 63086 in exponential form is:

63086 = 21 × 315431

Prime Factorization of 63090

Prime factors of 63090 are 2, 3, 5, 701. Prime factorization of 63090 in exponential form is:

63090 = 21 × 32 × 51 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 63086 and 63090.

LCM(63086,63090) = 21 × 315431 × 32 × 51 × 7011
LCM(63086,63090) = 1990047870