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What is the Least Common Multiple of 74533 and 74547?

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 74533 and 74547 is 5556211551.

LCM(74533,74547) = 5556211551

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Least Common Multiple of 74533 and 74547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74533 and 74547, than apply into the LCM equation.

GCF(74533,74547) = 1
LCM(74533,74547) = ( 74533 × 74547) / 1
LCM(74533,74547) = 5556211551 / 1
LCM(74533,74547) = 5556211551

Least Common Multiple (LCM) of 74533 and 74547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74533 and 74547. First we will calculate the prime factors of 74533 and 74547.

Prime Factorization of 74533

Prime factors of 74533 are 73, 1021. Prime factorization of 74533 in exponential form is:

74533 = 731 × 10211

Prime Factorization of 74547

Prime factors of 74547 are 3, 11, 251. Prime factorization of 74547 in exponential form is:

74547 = 33 × 111 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 74533 and 74547.

LCM(74533,74547) = 731 × 10211 × 33 × 111 × 2511
LCM(74533,74547) = 5556211551