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What is the Least Common Multiple of 68026 and 68040?

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 68026 and 68040 is 330606360.

LCM(68026,68040) = 330606360

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Least Common Multiple of 68026 and 68040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68026 and 68040, than apply into the LCM equation.

GCF(68026,68040) = 14
LCM(68026,68040) = ( 68026 × 68040) / 14
LCM(68026,68040) = 4628489040 / 14
LCM(68026,68040) = 330606360

Least Common Multiple (LCM) of 68026 and 68040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68026 and 68040. First we will calculate the prime factors of 68026 and 68040.

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

Prime Factorization of 68040

Prime factors of 68040 are 2, 3, 5, 7. Prime factorization of 68040 in exponential form is:

68040 = 23 × 35 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 68026 and 68040.

LCM(68026,68040) = 23 × 71 × 431 × 1131 × 35 × 51
LCM(68026,68040) = 330606360