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What is the Least Common Multiple of 63836 and 63850?

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 63836 and 63850 is 2037964300.

LCM(63836,63850) = 2037964300

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Least Common Multiple of 63836 and 63850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63836 and 63850, than apply into the LCM equation.

GCF(63836,63850) = 2
LCM(63836,63850) = ( 63836 × 63850) / 2
LCM(63836,63850) = 4075928600 / 2
LCM(63836,63850) = 2037964300

Least Common Multiple (LCM) of 63836 and 63850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63836 and 63850. First we will calculate the prime factors of 63836 and 63850.

Prime Factorization of 63836

Prime factors of 63836 are 2, 15959. Prime factorization of 63836 in exponential form is:

63836 = 22 × 159591

Prime Factorization of 63850

Prime factors of 63850 are 2, 5, 1277. Prime factorization of 63850 in exponential form is:

63850 = 21 × 52 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 63836 and 63850.

LCM(63836,63850) = 22 × 159591 × 52 × 12771
LCM(63836,63850) = 2037964300