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What is the Least Common Multiple of 63085 and 63098?

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 63085 and 63098 is 3980537330.

LCM(63085,63098) = 3980537330

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Least Common Multiple of 63085 and 63098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63085 and 63098, than apply into the LCM equation.

GCF(63085,63098) = 1
LCM(63085,63098) = ( 63085 × 63098) / 1
LCM(63085,63098) = 3980537330 / 1
LCM(63085,63098) = 3980537330

Least Common Multiple (LCM) of 63085 and 63098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63085 and 63098. First we will calculate the prime factors of 63085 and 63098.

Prime Factorization of 63085

Prime factors of 63085 are 5, 11, 31, 37. Prime factorization of 63085 in exponential form is:

63085 = 51 × 111 × 311 × 371

Prime Factorization of 63098

Prime factors of 63098 are 2, 7, 4507. Prime factorization of 63098 in exponential form is:

63098 = 21 × 71 × 45071

Now multiplying the highest exponent prime factors to calculate the LCM of 63085 and 63098.

LCM(63085,63098) = 51 × 111 × 311 × 371 × 21 × 71 × 45071
LCM(63085,63098) = 3980537330