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What is the Least Common Multiple of 67411 and 67416?

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 67411 and 67416 is 4544579976.

LCM(67411,67416) = 4544579976

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Least Common Multiple of 67411 and 67416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67411 and 67416, than apply into the LCM equation.

GCF(67411,67416) = 1
LCM(67411,67416) = ( 67411 × 67416) / 1
LCM(67411,67416) = 4544579976 / 1
LCM(67411,67416) = 4544579976

Least Common Multiple (LCM) of 67411 and 67416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67411 and 67416. First we will calculate the prime factors of 67411 and 67416.

Prime Factorization of 67411

Prime factors of 67411 are 67411. Prime factorization of 67411 in exponential form is:

67411 = 674111

Prime Factorization of 67416

Prime factors of 67416 are 2, 3, 53. Prime factorization of 67416 in exponential form is:

67416 = 23 × 31 × 532

Now multiplying the highest exponent prime factors to calculate the LCM of 67411 and 67416.

LCM(67411,67416) = 674111 × 23 × 31 × 532
LCM(67411,67416) = 4544579976