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What is the Least Common Multiple of 63546 and 63553?

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 63546 and 63553 is 576934134.

LCM(63546,63553) = 576934134

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Least Common Multiple of 63546 and 63553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63546 and 63553, than apply into the LCM equation.

GCF(63546,63553) = 7
LCM(63546,63553) = ( 63546 × 63553) / 7
LCM(63546,63553) = 4038538938 / 7
LCM(63546,63553) = 576934134

Least Common Multiple (LCM) of 63546 and 63553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63546 and 63553. First we will calculate the prime factors of 63546 and 63553.

Prime Factorization of 63546

Prime factors of 63546 are 2, 3, 7, 17, 89. Prime factorization of 63546 in exponential form is:

63546 = 21 × 31 × 71 × 171 × 891

Prime Factorization of 63553

Prime factors of 63553 are 7, 1297. Prime factorization of 63553 in exponential form is:

63553 = 72 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 63546 and 63553.

LCM(63546,63553) = 21 × 31 × 72 × 171 × 891 × 12971
LCM(63546,63553) = 576934134