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What is the Least Common Multiple of 54572 and 54588?

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 54572 and 54588 is 744744084.

LCM(54572,54588) = 744744084

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Least Common Multiple of 54572 and 54588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54572 and 54588, than apply into the LCM equation.

GCF(54572,54588) = 4
LCM(54572,54588) = ( 54572 × 54588) / 4
LCM(54572,54588) = 2978976336 / 4
LCM(54572,54588) = 744744084

Least Common Multiple (LCM) of 54572 and 54588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54572 and 54588. First we will calculate the prime factors of 54572 and 54588.

Prime Factorization of 54572

Prime factors of 54572 are 2, 7, 1949. Prime factorization of 54572 in exponential form is:

54572 = 22 × 71 × 19491

Prime Factorization of 54588

Prime factors of 54588 are 2, 3, 4549. Prime factorization of 54588 in exponential form is:

54588 = 22 × 31 × 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 54572 and 54588.

LCM(54572,54588) = 22 × 71 × 19491 × 31 × 45491
LCM(54572,54588) = 744744084