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What is the Least Common Multiple of 18802 and 18810?

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 18802 and 18810 is 176832810.

LCM(18802,18810) = 176832810

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Least Common Multiple of 18802 and 18810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18802 and 18810, than apply into the LCM equation.

GCF(18802,18810) = 2
LCM(18802,18810) = ( 18802 × 18810) / 2
LCM(18802,18810) = 353665620 / 2
LCM(18802,18810) = 176832810

Least Common Multiple (LCM) of 18802 and 18810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18802 and 18810. First we will calculate the prime factors of 18802 and 18810.

Prime Factorization of 18802

Prime factors of 18802 are 2, 7, 17, 79. Prime factorization of 18802 in exponential form is:

18802 = 21 × 71 × 171 × 791

Prime Factorization of 18810

Prime factors of 18810 are 2, 3, 5, 11, 19. Prime factorization of 18810 in exponential form is:

18810 = 21 × 32 × 51 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 18802 and 18810.

LCM(18802,18810) = 21 × 71 × 171 × 791 × 32 × 51 × 111 × 191
LCM(18802,18810) = 176832810