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What is the Least Common Multiple of 27542 and 27553?

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 27542 and 27553 is 758864726.

LCM(27542,27553) = 758864726

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Least Common Multiple of 27542 and 27553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27542 and 27553, than apply into the LCM equation.

GCF(27542,27553) = 1
LCM(27542,27553) = ( 27542 × 27553) / 1
LCM(27542,27553) = 758864726 / 1
LCM(27542,27553) = 758864726

Least Common Multiple (LCM) of 27542 and 27553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27542 and 27553. First we will calculate the prime factors of 27542 and 27553.

Prime Factorization of 27542

Prime factors of 27542 are 2, 47, 293. Prime factorization of 27542 in exponential form is:

27542 = 21 × 471 × 2931

Prime Factorization of 27553

Prime factors of 27553 are 59, 467. Prime factorization of 27553 in exponential form is:

27553 = 591 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 27542 and 27553.

LCM(27542,27553) = 21 × 471 × 2931 × 591 × 4671
LCM(27542,27553) = 758864726