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What is the Least Common Multiple of 63350 and 63358?

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 63350 and 63358 is 2006864650.

LCM(63350,63358) = 2006864650

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Least Common Multiple of 63350 and 63358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63350 and 63358, than apply into the LCM equation.

GCF(63350,63358) = 2
LCM(63350,63358) = ( 63350 × 63358) / 2
LCM(63350,63358) = 4013729300 / 2
LCM(63350,63358) = 2006864650

Least Common Multiple (LCM) of 63350 and 63358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63350 and 63358. First we will calculate the prime factors of 63350 and 63358.

Prime Factorization of 63350

Prime factors of 63350 are 2, 5, 7, 181. Prime factorization of 63350 in exponential form is:

63350 = 21 × 52 × 71 × 1811

Prime Factorization of 63358

Prime factors of 63358 are 2, 79, 401. Prime factorization of 63358 in exponential form is:

63358 = 21 × 791 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 63350 and 63358.

LCM(63350,63358) = 21 × 52 × 71 × 1811 × 791 × 4011
LCM(63350,63358) = 2006864650