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What is the Least Common Multiple of 29551 and 29557?

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 29551 and 29557 is 873438907.

LCM(29551,29557) = 873438907

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Least Common Multiple of 29551 and 29557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29551 and 29557, than apply into the LCM equation.

GCF(29551,29557) = 1
LCM(29551,29557) = ( 29551 × 29557) / 1
LCM(29551,29557) = 873438907 / 1
LCM(29551,29557) = 873438907

Least Common Multiple (LCM) of 29551 and 29557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29551 and 29557. First we will calculate the prime factors of 29551 and 29557.

Prime Factorization of 29551

Prime factors of 29551 are 29, 1019. Prime factorization of 29551 in exponential form is:

29551 = 291 × 10191

Prime Factorization of 29557

Prime factors of 29557 are 11, 2687. Prime factorization of 29557 in exponential form is:

29557 = 111 × 26871

Now multiplying the highest exponent prime factors to calculate the LCM of 29551 and 29557.

LCM(29551,29557) = 291 × 10191 × 111 × 26871
LCM(29551,29557) = 873438907