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What is the Least Common Multiple of 27442 and 27451?

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 27442 and 27451 is 753310342.

LCM(27442,27451) = 753310342

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Least Common Multiple of 27442 and 27451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27442 and 27451, than apply into the LCM equation.

GCF(27442,27451) = 1
LCM(27442,27451) = ( 27442 × 27451) / 1
LCM(27442,27451) = 753310342 / 1
LCM(27442,27451) = 753310342

Least Common Multiple (LCM) of 27442 and 27451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27442 and 27451. First we will calculate the prime factors of 27442 and 27451.

Prime Factorization of 27442

Prime factors of 27442 are 2, 13721. Prime factorization of 27442 in exponential form is:

27442 = 21 × 137211

Prime Factorization of 27451

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

27451 = 971 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 27442 and 27451.

LCM(27442,27451) = 21 × 137211 × 971 × 2831
LCM(27442,27451) = 753310342