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What is the Least Common Multiple of 67473 and 67477?

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 67473 and 67477 is 4552875621.

LCM(67473,67477) = 4552875621

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Least Common Multiple of 67473 and 67477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67473 and 67477, than apply into the LCM equation.

GCF(67473,67477) = 1
LCM(67473,67477) = ( 67473 × 67477) / 1
LCM(67473,67477) = 4552875621 / 1
LCM(67473,67477) = 4552875621

Least Common Multiple (LCM) of 67473 and 67477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67473 and 67477. First we will calculate the prime factors of 67473 and 67477.

Prime Factorization of 67473

Prime factors of 67473 are 3, 7, 17. Prime factorization of 67473 in exponential form is:

67473 = 34 × 72 × 171

Prime Factorization of 67477

Prime factors of 67477 are 67477. Prime factorization of 67477 in exponential form is:

67477 = 674771

Now multiplying the highest exponent prime factors to calculate the LCM of 67473 and 67477.

LCM(67473,67477) = 34 × 72 × 171 × 674771
LCM(67473,67477) = 4552875621