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What is the Least Common Multiple of 60463 and 60467?

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 60463 and 60467 is 3656016221.

LCM(60463,60467) = 3656016221

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Least Common Multiple of 60463 and 60467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60463 and 60467, than apply into the LCM equation.

GCF(60463,60467) = 1
LCM(60463,60467) = ( 60463 × 60467) / 1
LCM(60463,60467) = 3656016221 / 1
LCM(60463,60467) = 3656016221

Least Common Multiple (LCM) of 60463 and 60467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60463 and 60467. First we will calculate the prime factors of 60463 and 60467.

Prime Factorization of 60463

Prime factors of 60463 are 13, 4651. Prime factorization of 60463 in exponential form is:

60463 = 131 × 46511

Prime Factorization of 60467

Prime factors of 60467 are 11, 23, 239. Prime factorization of 60467 in exponential form is:

60467 = 111 × 231 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 60463 and 60467.

LCM(60463,60467) = 131 × 46511 × 111 × 231 × 2391
LCM(60463,60467) = 3656016221