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What is the Least Common Multiple of 67892 and 67911?

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 67892 and 67911 is 4610613612.

LCM(67892,67911) = 4610613612

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Least Common Multiple of 67892 and 67911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67892 and 67911, than apply into the LCM equation.

GCF(67892,67911) = 1
LCM(67892,67911) = ( 67892 × 67911) / 1
LCM(67892,67911) = 4610613612 / 1
LCM(67892,67911) = 4610613612

Least Common Multiple (LCM) of 67892 and 67911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67892 and 67911. First we will calculate the prime factors of 67892 and 67911.

Prime Factorization of 67892

Prime factors of 67892 are 2, 11, 1543. Prime factorization of 67892 in exponential form is:

67892 = 22 × 111 × 15431

Prime Factorization of 67911

Prime factors of 67911 are 3, 22637. Prime factorization of 67911 in exponential form is:

67911 = 31 × 226371

Now multiplying the highest exponent prime factors to calculate the LCM of 67892 and 67911.

LCM(67892,67911) = 22 × 111 × 15431 × 31 × 226371
LCM(67892,67911) = 4610613612