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What is the Least Common Multiple of 67363 and 67378?

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 67363 and 67378 is 4538784214.

LCM(67363,67378) = 4538784214

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Least Common Multiple of 67363 and 67378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67363 and 67378, than apply into the LCM equation.

GCF(67363,67378) = 1
LCM(67363,67378) = ( 67363 × 67378) / 1
LCM(67363,67378) = 4538784214 / 1
LCM(67363,67378) = 4538784214

Least Common Multiple (LCM) of 67363 and 67378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67363 and 67378. First we will calculate the prime factors of 67363 and 67378.

Prime Factorization of 67363

Prime factors of 67363 are 31, 41, 53. Prime factorization of 67363 in exponential form is:

67363 = 311 × 411 × 531

Prime Factorization of 67378

Prime factors of 67378 are 2, 59, 571. Prime factorization of 67378 in exponential form is:

67378 = 21 × 591 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 67363 and 67378.

LCM(67363,67378) = 311 × 411 × 531 × 21 × 591 × 5711
LCM(67363,67378) = 4538784214