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What is the Least Common Multiple of 63820 and 63824?

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 63820 and 63824 is 1018311920.

LCM(63820,63824) = 1018311920

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Least Common Multiple of 63820 and 63824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63820 and 63824, than apply into the LCM equation.

GCF(63820,63824) = 4
LCM(63820,63824) = ( 63820 × 63824) / 4
LCM(63820,63824) = 4073247680 / 4
LCM(63820,63824) = 1018311920

Least Common Multiple (LCM) of 63820 and 63824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63820 and 63824. First we will calculate the prime factors of 63820 and 63824.

Prime Factorization of 63820

Prime factors of 63820 are 2, 5, 3191. Prime factorization of 63820 in exponential form is:

63820 = 22 × 51 × 31911

Prime Factorization of 63824

Prime factors of 63824 are 2, 3989. Prime factorization of 63824 in exponential form is:

63824 = 24 × 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 63820 and 63824.

LCM(63820,63824) = 24 × 51 × 31911 × 39891
LCM(63820,63824) = 1018311920