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What is the Least Common Multiple of 63199 and 63210?

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 63199 and 63210 is 3994808790.

LCM(63199,63210) = 3994808790

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Least Common Multiple of 63199 and 63210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63199 and 63210, than apply into the LCM equation.

GCF(63199,63210) = 1
LCM(63199,63210) = ( 63199 × 63210) / 1
LCM(63199,63210) = 3994808790 / 1
LCM(63199,63210) = 3994808790

Least Common Multiple (LCM) of 63199 and 63210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63199 and 63210. First we will calculate the prime factors of 63199 and 63210.

Prime Factorization of 63199

Prime factors of 63199 are 63199. Prime factorization of 63199 in exponential form is:

63199 = 631991

Prime Factorization of 63210

Prime factors of 63210 are 2, 3, 5, 7, 43. Prime factorization of 63210 in exponential form is:

63210 = 21 × 31 × 51 × 72 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 63199 and 63210.

LCM(63199,63210) = 631991 × 21 × 31 × 51 × 72 × 431
LCM(63199,63210) = 3994808790