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What is the Least Common Multiple of 6562 and 6567?

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 6562 and 6567 is 43092654.

LCM(6562,6567) = 43092654

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Least Common Multiple of 6562 and 6567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6562 and 6567, than apply into the LCM equation.

GCF(6562,6567) = 1
LCM(6562,6567) = ( 6562 × 6567) / 1
LCM(6562,6567) = 43092654 / 1
LCM(6562,6567) = 43092654

Least Common Multiple (LCM) of 6562 and 6567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6562 and 6567. First we will calculate the prime factors of 6562 and 6567.

Prime Factorization of 6562

Prime factors of 6562 are 2, 17, 193. Prime factorization of 6562 in exponential form is:

6562 = 21 × 171 × 1931

Prime Factorization of 6567

Prime factors of 6567 are 3, 11, 199. Prime factorization of 6567 in exponential form is:

6567 = 31 × 111 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 6562 and 6567.

LCM(6562,6567) = 21 × 171 × 1931 × 31 × 111 × 1991
LCM(6562,6567) = 43092654