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What is the Least Common Multiple of 62663 and 62668?

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 62663 and 62668 is 3926964884.

LCM(62663,62668) = 3926964884

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Least Common Multiple of 62663 and 62668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62663 and 62668, than apply into the LCM equation.

GCF(62663,62668) = 1
LCM(62663,62668) = ( 62663 × 62668) / 1
LCM(62663,62668) = 3926964884 / 1
LCM(62663,62668) = 3926964884

Least Common Multiple (LCM) of 62663 and 62668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62663 and 62668. First we will calculate the prime factors of 62663 and 62668.

Prime Factorization of 62663

Prime factors of 62663 are 223, 281. Prime factorization of 62663 in exponential form is:

62663 = 2231 × 2811

Prime Factorization of 62668

Prime factors of 62668 are 2, 15667. Prime factorization of 62668 in exponential form is:

62668 = 22 × 156671

Now multiplying the highest exponent prime factors to calculate the LCM of 62663 and 62668.

LCM(62663,62668) = 2231 × 2811 × 22 × 156671
LCM(62663,62668) = 3926964884