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What is the Least Common Multiple of 27362 and 27366?

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 27362 and 27366 is 374394246.

LCM(27362,27366) = 374394246

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Least Common Multiple of 27362 and 27366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27362 and 27366, than apply into the LCM equation.

GCF(27362,27366) = 2
LCM(27362,27366) = ( 27362 × 27366) / 2
LCM(27362,27366) = 748788492 / 2
LCM(27362,27366) = 374394246

Least Common Multiple (LCM) of 27362 and 27366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27362 and 27366. First we will calculate the prime factors of 27362 and 27366.

Prime Factorization of 27362

Prime factors of 27362 are 2, 13681. Prime factorization of 27362 in exponential form is:

27362 = 21 × 136811

Prime Factorization of 27366

Prime factors of 27366 are 2, 3, 4561. Prime factorization of 27366 in exponential form is:

27366 = 21 × 31 × 45611

Now multiplying the highest exponent prime factors to calculate the LCM of 27362 and 27366.

LCM(27362,27366) = 21 × 136811 × 31 × 45611
LCM(27362,27366) = 374394246