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What is the Least Common Multiple of 67441 and 67454?

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 67441 and 67454 is 4549165214.

LCM(67441,67454) = 4549165214

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Least Common Multiple of 67441 and 67454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67441 and 67454, than apply into the LCM equation.

GCF(67441,67454) = 1
LCM(67441,67454) = ( 67441 × 67454) / 1
LCM(67441,67454) = 4549165214 / 1
LCM(67441,67454) = 4549165214

Least Common Multiple (LCM) of 67441 and 67454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67441 and 67454. First we will calculate the prime factors of 67441 and 67454.

Prime Factorization of 67441

Prime factors of 67441 are 11, 6131. Prime factorization of 67441 in exponential form is:

67441 = 111 × 61311

Prime Factorization of 67454

Prime factors of 67454 are 2, 29, 1163. Prime factorization of 67454 in exponential form is:

67454 = 21 × 291 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 67441 and 67454.

LCM(67441,67454) = 111 × 61311 × 21 × 291 × 11631
LCM(67441,67454) = 4549165214