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What is the Least Common Multiple of 27464 and 27477?

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 27464 and 27477 is 754628328.

LCM(27464,27477) = 754628328

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Least Common Multiple of 27464 and 27477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27464 and 27477, than apply into the LCM equation.

GCF(27464,27477) = 1
LCM(27464,27477) = ( 27464 × 27477) / 1
LCM(27464,27477) = 754628328 / 1
LCM(27464,27477) = 754628328

Least Common Multiple (LCM) of 27464 and 27477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27464 and 27477. First we will calculate the prime factors of 27464 and 27477.

Prime Factorization of 27464

Prime factors of 27464 are 2, 3433. Prime factorization of 27464 in exponential form is:

27464 = 23 × 34331

Prime Factorization of 27477

Prime factors of 27477 are 3, 43, 71. Prime factorization of 27477 in exponential form is:

27477 = 32 × 431 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 27464 and 27477.

LCM(27464,27477) = 23 × 34331 × 32 × 431 × 711
LCM(27464,27477) = 754628328