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What is the Least Common Multiple of 67144 and 67161?

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 67144 and 67161 is 4509458184.

LCM(67144,67161) = 4509458184

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Least Common Multiple of 67144 and 67161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67144 and 67161, than apply into the LCM equation.

GCF(67144,67161) = 1
LCM(67144,67161) = ( 67144 × 67161) / 1
LCM(67144,67161) = 4509458184 / 1
LCM(67144,67161) = 4509458184

Least Common Multiple (LCM) of 67144 and 67161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67144 and 67161. First we will calculate the prime factors of 67144 and 67161.

Prime Factorization of 67144

Prime factors of 67144 are 2, 7, 11, 109. Prime factorization of 67144 in exponential form is:

67144 = 23 × 71 × 111 × 1091

Prime Factorization of 67161

Prime factors of 67161 are 3, 61, 367. Prime factorization of 67161 in exponential form is:

67161 = 31 × 611 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 67144 and 67161.

LCM(67144,67161) = 23 × 71 × 111 × 1091 × 31 × 611 × 3671
LCM(67144,67161) = 4509458184