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What is the Least Common Multiple of 27393 and 27402?

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 27393 and 27402 is 250207662.

LCM(27393,27402) = 250207662

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Least Common Multiple of 27393 and 27402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27393 and 27402, than apply into the LCM equation.

GCF(27393,27402) = 3
LCM(27393,27402) = ( 27393 × 27402) / 3
LCM(27393,27402) = 750622986 / 3
LCM(27393,27402) = 250207662

Least Common Multiple (LCM) of 27393 and 27402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27393 and 27402. First we will calculate the prime factors of 27393 and 27402.

Prime Factorization of 27393

Prime factors of 27393 are 3, 23, 397. Prime factorization of 27393 in exponential form is:

27393 = 31 × 231 × 3971

Prime Factorization of 27402

Prime factors of 27402 are 2, 3, 4567. Prime factorization of 27402 in exponential form is:

27402 = 21 × 31 × 45671

Now multiplying the highest exponent prime factors to calculate the LCM of 27393 and 27402.

LCM(27393,27402) = 31 × 231 × 3971 × 21 × 45671
LCM(27393,27402) = 250207662