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What is the Least Common Multiple of 27462 and 27466?

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 27462 and 27466 is 377135646.

LCM(27462,27466) = 377135646

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Least Common Multiple of 27462 and 27466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27462 and 27466, than apply into the LCM equation.

GCF(27462,27466) = 2
LCM(27462,27466) = ( 27462 × 27466) / 2
LCM(27462,27466) = 754271292 / 2
LCM(27462,27466) = 377135646

Least Common Multiple (LCM) of 27462 and 27466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27462 and 27466. First we will calculate the prime factors of 27462 and 27466.

Prime Factorization of 27462

Prime factors of 27462 are 2, 3, 23, 199. Prime factorization of 27462 in exponential form is:

27462 = 21 × 31 × 231 × 1991

Prime Factorization of 27466

Prime factors of 27466 are 2, 31, 443. Prime factorization of 27466 in exponential form is:

27466 = 21 × 311 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 27462 and 27466.

LCM(27462,27466) = 21 × 31 × 231 × 1991 × 311 × 4431
LCM(27462,27466) = 377135646