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What is the Least Common Multiple of 26742 and 26754?

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 26742 and 26754 is 119242578.

LCM(26742,26754) = 119242578

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Least Common Multiple of 26742 and 26754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26742 and 26754, than apply into the LCM equation.

GCF(26742,26754) = 6
LCM(26742,26754) = ( 26742 × 26754) / 6
LCM(26742,26754) = 715455468 / 6
LCM(26742,26754) = 119242578

Least Common Multiple (LCM) of 26742 and 26754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26742 and 26754. First we will calculate the prime factors of 26742 and 26754.

Prime Factorization of 26742

Prime factors of 26742 are 2, 3, 4457. Prime factorization of 26742 in exponential form is:

26742 = 21 × 31 × 44571

Prime Factorization of 26754

Prime factors of 26754 are 2, 3, 7, 13. Prime factorization of 26754 in exponential form is:

26754 = 21 × 31 × 73 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 26742 and 26754.

LCM(26742,26754) = 21 × 31 × 44571 × 73 × 131
LCM(26742,26754) = 119242578