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What is the Least Common Multiple of 67016 and 67034?

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 67016 and 67034 is 2246175272.

LCM(67016,67034) = 2246175272

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Least Common Multiple of 67016 and 67034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67016 and 67034, than apply into the LCM equation.

GCF(67016,67034) = 2
LCM(67016,67034) = ( 67016 × 67034) / 2
LCM(67016,67034) = 4492350544 / 2
LCM(67016,67034) = 2246175272

Least Common Multiple (LCM) of 67016 and 67034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67016 and 67034. First we will calculate the prime factors of 67016 and 67034.

Prime Factorization of 67016

Prime factors of 67016 are 2, 8377. Prime factorization of 67016 in exponential form is:

67016 = 23 × 83771

Prime Factorization of 67034

Prime factors of 67034 are 2, 11, 277. Prime factorization of 67034 in exponential form is:

67034 = 21 × 112 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 67016 and 67034.

LCM(67016,67034) = 23 × 83771 × 112 × 2771
LCM(67016,67034) = 2246175272