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What is the Least Common Multiple of 67563 and 67583?

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 67563 and 67583 is 4566110229.

LCM(67563,67583) = 4566110229

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Least Common Multiple of 67563 and 67583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67563 and 67583, than apply into the LCM equation.

GCF(67563,67583) = 1
LCM(67563,67583) = ( 67563 × 67583) / 1
LCM(67563,67583) = 4566110229 / 1
LCM(67563,67583) = 4566110229

Least Common Multiple (LCM) of 67563 and 67583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67563 and 67583. First we will calculate the prime factors of 67563 and 67583.

Prime Factorization of 67563

Prime factors of 67563 are 3, 7507. Prime factorization of 67563 in exponential form is:

67563 = 32 × 75071

Prime Factorization of 67583

Prime factors of 67583 are 19, 3557. Prime factorization of 67583 in exponential form is:

67583 = 191 × 35571

Now multiplying the highest exponent prime factors to calculate the LCM of 67563 and 67583.

LCM(67563,67583) = 32 × 75071 × 191 × 35571
LCM(67563,67583) = 4566110229