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What is the Least Common Multiple of 67656 and 67669?

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 67656 and 67669 is 4578213864.

LCM(67656,67669) = 4578213864

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Least Common Multiple of 67656 and 67669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67656 and 67669, than apply into the LCM equation.

GCF(67656,67669) = 1
LCM(67656,67669) = ( 67656 × 67669) / 1
LCM(67656,67669) = 4578213864 / 1
LCM(67656,67669) = 4578213864

Least Common Multiple (LCM) of 67656 and 67669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67656 and 67669. First we will calculate the prime factors of 67656 and 67669.

Prime Factorization of 67656

Prime factors of 67656 are 2, 3, 2819. Prime factorization of 67656 in exponential form is:

67656 = 23 × 31 × 28191

Prime Factorization of 67669

Prime factors of 67669 are 7, 1381. Prime factorization of 67669 in exponential form is:

67669 = 72 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 67656 and 67669.

LCM(67656,67669) = 23 × 31 × 28191 × 72 × 13811
LCM(67656,67669) = 4578213864