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What is the Least Common Multiple of 63461 and 63467?

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 63461 and 63467 is 4027679287.

LCM(63461,63467) = 4027679287

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Least Common Multiple of 63461 and 63467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63461 and 63467, than apply into the LCM equation.

GCF(63461,63467) = 1
LCM(63461,63467) = ( 63461 × 63467) / 1
LCM(63461,63467) = 4027679287 / 1
LCM(63461,63467) = 4027679287

Least Common Multiple (LCM) of 63461 and 63467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63461 and 63467. First we will calculate the prime factors of 63461 and 63467.

Prime Factorization of 63461

Prime factors of 63461 are 17, 3733. Prime factorization of 63461 in exponential form is:

63461 = 171 × 37331

Prime Factorization of 63467

Prime factors of 63467 are 63467. Prime factorization of 63467 in exponential form is:

63467 = 634671

Now multiplying the highest exponent prime factors to calculate the LCM of 63461 and 63467.

LCM(63461,63467) = 171 × 37331 × 634671
LCM(63461,63467) = 4027679287