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What is the Least Common Multiple of 27451 and 27465?

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 27451 and 27465 is 753941715.

LCM(27451,27465) = 753941715

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Least Common Multiple of 27451 and 27465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27451 and 27465, than apply into the LCM equation.

GCF(27451,27465) = 1
LCM(27451,27465) = ( 27451 × 27465) / 1
LCM(27451,27465) = 753941715 / 1
LCM(27451,27465) = 753941715

Least Common Multiple (LCM) of 27451 and 27465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27451 and 27465. First we will calculate the prime factors of 27451 and 27465.

Prime Factorization of 27451

Prime factors of 27451 are 97, 283. Prime factorization of 27451 in exponential form is:

27451 = 971 × 2831

Prime Factorization of 27465

Prime factors of 27465 are 3, 5, 1831. Prime factorization of 27465 in exponential form is:

27465 = 31 × 51 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 27451 and 27465.

LCM(27451,27465) = 971 × 2831 × 31 × 51 × 18311
LCM(27451,27465) = 753941715