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What is the Least Common Multiple of 67804 and 67810?

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 67804 and 67810 is 2298894620.

LCM(67804,67810) = 2298894620

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Least Common Multiple of 67804 and 67810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67804 and 67810, than apply into the LCM equation.

GCF(67804,67810) = 2
LCM(67804,67810) = ( 67804 × 67810) / 2
LCM(67804,67810) = 4597789240 / 2
LCM(67804,67810) = 2298894620

Least Common Multiple (LCM) of 67804 and 67810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67804 and 67810. First we will calculate the prime factors of 67804 and 67810.

Prime Factorization of 67804

Prime factors of 67804 are 2, 11, 23, 67. Prime factorization of 67804 in exponential form is:

67804 = 22 × 111 × 231 × 671

Prime Factorization of 67810

Prime factors of 67810 are 2, 5, 6781. Prime factorization of 67810 in exponential form is:

67810 = 21 × 51 × 67811

Now multiplying the highest exponent prime factors to calculate the LCM of 67804 and 67810.

LCM(67804,67810) = 22 × 111 × 231 × 671 × 51 × 67811
LCM(67804,67810) = 2298894620