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What is the Least Common Multiple of 67205 and 67223?

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 67205 and 67223 is 4517721715.

LCM(67205,67223) = 4517721715

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Least Common Multiple of 67205 and 67223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67205 and 67223, than apply into the LCM equation.

GCF(67205,67223) = 1
LCM(67205,67223) = ( 67205 × 67223) / 1
LCM(67205,67223) = 4517721715 / 1
LCM(67205,67223) = 4517721715

Least Common Multiple (LCM) of 67205 and 67223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67205 and 67223. First we will calculate the prime factors of 67205 and 67223.

Prime Factorization of 67205

Prime factors of 67205 are 5, 13441. Prime factorization of 67205 in exponential form is:

67205 = 51 × 134411

Prime Factorization of 67223

Prime factors of 67223 are 13, 5171. Prime factorization of 67223 in exponential form is:

67223 = 131 × 51711

Now multiplying the highest exponent prime factors to calculate the LCM of 67205 and 67223.

LCM(67205,67223) = 51 × 134411 × 131 × 51711
LCM(67205,67223) = 4517721715