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What is the Least Common Multiple of 29561 and 29567?

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 29561 and 29567 is 874030087.

LCM(29561,29567) = 874030087

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Least Common Multiple of 29561 and 29567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29561 and 29567, than apply into the LCM equation.

GCF(29561,29567) = 1
LCM(29561,29567) = ( 29561 × 29567) / 1
LCM(29561,29567) = 874030087 / 1
LCM(29561,29567) = 874030087

Least Common Multiple (LCM) of 29561 and 29567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29561 and 29567. First we will calculate the prime factors of 29561 and 29567.

Prime Factorization of 29561

Prime factors of 29561 are 7, 41, 103. Prime factorization of 29561 in exponential form is:

29561 = 71 × 411 × 1031

Prime Factorization of 29567

Prime factors of 29567 are 29567. Prime factorization of 29567 in exponential form is:

29567 = 295671

Now multiplying the highest exponent prime factors to calculate the LCM of 29561 and 29567.

LCM(29561,29567) = 71 × 411 × 1031 × 295671
LCM(29561,29567) = 874030087