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What is the Least Common Multiple of 5427 and 5432?

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 5427 and 5432 is 29479464.

LCM(5427,5432) = 29479464

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Least Common Multiple of 5427 and 5432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5427 and 5432, than apply into the LCM equation.

GCF(5427,5432) = 1
LCM(5427,5432) = ( 5427 × 5432) / 1
LCM(5427,5432) = 29479464 / 1
LCM(5427,5432) = 29479464

Least Common Multiple (LCM) of 5427 and 5432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5427 and 5432. First we will calculate the prime factors of 5427 and 5432.

Prime Factorization of 5427

Prime factors of 5427 are 3, 67. Prime factorization of 5427 in exponential form is:

5427 = 34 × 671

Prime Factorization of 5432

Prime factors of 5432 are 2, 7, 97. Prime factorization of 5432 in exponential form is:

5432 = 23 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 5427 and 5432.

LCM(5427,5432) = 34 × 671 × 23 × 71 × 971
LCM(5427,5432) = 29479464