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What is the Least Common Multiple of 67544 and 67557?

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 67544 and 67557 is 4563070008.

LCM(67544,67557) = 4563070008

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Least Common Multiple of 67544 and 67557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67544 and 67557, than apply into the LCM equation.

GCF(67544,67557) = 1
LCM(67544,67557) = ( 67544 × 67557) / 1
LCM(67544,67557) = 4563070008 / 1
LCM(67544,67557) = 4563070008

Least Common Multiple (LCM) of 67544 and 67557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67544 and 67557. First we will calculate the prime factors of 67544 and 67557.

Prime Factorization of 67544

Prime factors of 67544 are 2, 8443. Prime factorization of 67544 in exponential form is:

67544 = 23 × 84431

Prime Factorization of 67557

Prime factors of 67557 are 3, 7, 3217. Prime factorization of 67557 in exponential form is:

67557 = 31 × 71 × 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 67544 and 67557.

LCM(67544,67557) = 23 × 84431 × 31 × 71 × 32171
LCM(67544,67557) = 4563070008