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What is the Least Common Multiple of 68017 and 68026?

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 68017 and 68026 is 4626924442.

LCM(68017,68026) = 4626924442

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Least Common Multiple of 68017 and 68026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68017 and 68026, than apply into the LCM equation.

GCF(68017,68026) = 1
LCM(68017,68026) = ( 68017 × 68026) / 1
LCM(68017,68026) = 4626924442 / 1
LCM(68017,68026) = 4626924442

Least Common Multiple (LCM) of 68017 and 68026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68017 and 68026. First we will calculate the prime factors of 68017 and 68026.

Prime Factorization of 68017

Prime factors of 68017 are 17, 4001. Prime factorization of 68017 in exponential form is:

68017 = 171 × 40011

Prime Factorization of 68026

Prime factors of 68026 are 2, 7, 43, 113. Prime factorization of 68026 in exponential form is:

68026 = 21 × 71 × 431 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 68017 and 68026.

LCM(68017,68026) = 171 × 40011 × 21 × 71 × 431 × 1131
LCM(68017,68026) = 4626924442