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What is the Least Common Multiple of 21783 and 21795?

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 21783 and 21795 is 158253495.

LCM(21783,21795) = 158253495

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Least Common Multiple of 21783 and 21795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21783 and 21795, than apply into the LCM equation.

GCF(21783,21795) = 3
LCM(21783,21795) = ( 21783 × 21795) / 3
LCM(21783,21795) = 474760485 / 3
LCM(21783,21795) = 158253495

Least Common Multiple (LCM) of 21783 and 21795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21783 and 21795. First we will calculate the prime factors of 21783 and 21795.

Prime Factorization of 21783

Prime factors of 21783 are 3, 53, 137. Prime factorization of 21783 in exponential form is:

21783 = 31 × 531 × 1371

Prime Factorization of 21795

Prime factors of 21795 are 3, 5, 1453. Prime factorization of 21795 in exponential form is:

21795 = 31 × 51 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 21783 and 21795.

LCM(21783,21795) = 31 × 531 × 1371 × 51 × 14531
LCM(21783,21795) = 158253495