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What is the Least Common Multiple of 60543 and 60559?

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 60543 and 60559 is 3666423537.

LCM(60543,60559) = 3666423537

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Least Common Multiple of 60543 and 60559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60543 and 60559, than apply into the LCM equation.

GCF(60543,60559) = 1
LCM(60543,60559) = ( 60543 × 60559) / 1
LCM(60543,60559) = 3666423537 / 1
LCM(60543,60559) = 3666423537

Least Common Multiple (LCM) of 60543 and 60559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60543 and 60559. First we will calculate the prime factors of 60543 and 60559.

Prime Factorization of 60543

Prime factors of 60543 are 3, 7, 31. Prime factorization of 60543 in exponential form is:

60543 = 32 × 71 × 312

Prime Factorization of 60559

Prime factors of 60559 are 23, 2633. Prime factorization of 60559 in exponential form is:

60559 = 231 × 26331

Now multiplying the highest exponent prime factors to calculate the LCM of 60543 and 60559.

LCM(60543,60559) = 32 × 71 × 312 × 231 × 26331
LCM(60543,60559) = 3666423537