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What is the Least Common Multiple of 18780 and 18797?

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 18780 and 18797 is 353007660.

LCM(18780,18797) = 353007660

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Least Common Multiple of 18780 and 18797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18780 and 18797, than apply into the LCM equation.

GCF(18780,18797) = 1
LCM(18780,18797) = ( 18780 × 18797) / 1
LCM(18780,18797) = 353007660 / 1
LCM(18780,18797) = 353007660

Least Common Multiple (LCM) of 18780 and 18797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18780 and 18797. First we will calculate the prime factors of 18780 and 18797.

Prime Factorization of 18780

Prime factors of 18780 are 2, 3, 5, 313. Prime factorization of 18780 in exponential form is:

18780 = 22 × 31 × 51 × 3131

Prime Factorization of 18797

Prime factors of 18797 are 18797. Prime factorization of 18797 in exponential form is:

18797 = 187971

Now multiplying the highest exponent prime factors to calculate the LCM of 18780 and 18797.

LCM(18780,18797) = 22 × 31 × 51 × 3131 × 187971
LCM(18780,18797) = 353007660