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What is the Least Common Multiple of 67907 and 67912?

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 67907 and 67912 is 4611700184.

LCM(67907,67912) = 4611700184

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Least Common Multiple of 67907 and 67912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67907 and 67912, than apply into the LCM equation.

GCF(67907,67912) = 1
LCM(67907,67912) = ( 67907 × 67912) / 1
LCM(67907,67912) = 4611700184 / 1
LCM(67907,67912) = 4611700184

Least Common Multiple (LCM) of 67907 and 67912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67907 and 67912. First we will calculate the prime factors of 67907 and 67912.

Prime Factorization of 67907

Prime factors of 67907 are 7, 89, 109. Prime factorization of 67907 in exponential form is:

67907 = 71 × 891 × 1091

Prime Factorization of 67912

Prime factors of 67912 are 2, 13, 653. Prime factorization of 67912 in exponential form is:

67912 = 23 × 131 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 67907 and 67912.

LCM(67907,67912) = 71 × 891 × 1091 × 23 × 131 × 6531
LCM(67907,67912) = 4611700184