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What is the Least Common Multiple of 27431 and 27450?

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 27431 and 27450 is 752980950.

LCM(27431,27450) = 752980950

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Least Common Multiple of 27431 and 27450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27431 and 27450, than apply into the LCM equation.

GCF(27431,27450) = 1
LCM(27431,27450) = ( 27431 × 27450) / 1
LCM(27431,27450) = 752980950 / 1
LCM(27431,27450) = 752980950

Least Common Multiple (LCM) of 27431 and 27450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27431 and 27450. First we will calculate the prime factors of 27431 and 27450.

Prime Factorization of 27431

Prime factors of 27431 are 27431. Prime factorization of 27431 in exponential form is:

27431 = 274311

Prime Factorization of 27450

Prime factors of 27450 are 2, 3, 5, 61. Prime factorization of 27450 in exponential form is:

27450 = 21 × 32 × 52 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 27431 and 27450.

LCM(27431,27450) = 274311 × 21 × 32 × 52 × 611
LCM(27431,27450) = 752980950