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What is the Least Common Multiple of 27494 and 27510?

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 27494 and 27510 is 378179970.

LCM(27494,27510) = 378179970

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Least Common Multiple of 27494 and 27510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27494 and 27510, than apply into the LCM equation.

GCF(27494,27510) = 2
LCM(27494,27510) = ( 27494 × 27510) / 2
LCM(27494,27510) = 756359940 / 2
LCM(27494,27510) = 378179970

Least Common Multiple (LCM) of 27494 and 27510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27494 and 27510. First we will calculate the prime factors of 27494 and 27510.

Prime Factorization of 27494

Prime factors of 27494 are 2, 59, 233. Prime factorization of 27494 in exponential form is:

27494 = 21 × 591 × 2331

Prime Factorization of 27510

Prime factors of 27510 are 2, 3, 5, 7, 131. Prime factorization of 27510 in exponential form is:

27510 = 21 × 31 × 51 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 27494 and 27510.

LCM(27494,27510) = 21 × 591 × 2331 × 31 × 51 × 71 × 1311
LCM(27494,27510) = 378179970