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What is the Least Common Multiple of 27545 and 27565?

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 27545 and 27565 is 151855585.

LCM(27545,27565) = 151855585

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Least Common Multiple of 27545 and 27565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27545 and 27565, than apply into the LCM equation.

GCF(27545,27565) = 5
LCM(27545,27565) = ( 27545 × 27565) / 5
LCM(27545,27565) = 759277925 / 5
LCM(27545,27565) = 151855585

Least Common Multiple (LCM) of 27545 and 27565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27545 and 27565. First we will calculate the prime factors of 27545 and 27565.

Prime Factorization of 27545

Prime factors of 27545 are 5, 7, 787. Prime factorization of 27545 in exponential form is:

27545 = 51 × 71 × 7871

Prime Factorization of 27565

Prime factors of 27565 are 5, 37, 149. Prime factorization of 27565 in exponential form is:

27565 = 51 × 371 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 27545 and 27565.

LCM(27545,27565) = 51 × 71 × 7871 × 371 × 1491
LCM(27545,27565) = 151855585