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What is the Least Common Multiple of 54527 and 54544?

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 54527 and 54544 is 2974120688.

LCM(54527,54544) = 2974120688

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Least Common Multiple of 54527 and 54544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54527 and 54544, than apply into the LCM equation.

GCF(54527,54544) = 1
LCM(54527,54544) = ( 54527 × 54544) / 1
LCM(54527,54544) = 2974120688 / 1
LCM(54527,54544) = 2974120688

Least Common Multiple (LCM) of 54527 and 54544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54527 and 54544. First we will calculate the prime factors of 54527 and 54544.

Prime Factorization of 54527

Prime factors of 54527 are 11, 4957. Prime factorization of 54527 in exponential form is:

54527 = 111 × 49571

Prime Factorization of 54544

Prime factors of 54544 are 2, 7, 487. Prime factorization of 54544 in exponential form is:

54544 = 24 × 71 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 54527 and 54544.

LCM(54527,54544) = 111 × 49571 × 24 × 71 × 4871
LCM(54527,54544) = 2974120688