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What is the Least Common Multiple of 26742 and 26758?

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 26758 is 357781218.

LCM(26742,26758) = 357781218

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Least Common Multiple of 26742 and 26758 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 26758, than apply into the LCM equation.

GCF(26742,26758) = 2
LCM(26742,26758) = ( 26742 × 26758) / 2
LCM(26742,26758) = 715562436 / 2
LCM(26742,26758) = 357781218

Least Common Multiple (LCM) of 26742 and 26758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26742 and 26758. First we will calculate the prime factors of 26742 and 26758.

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 26758

Prime factors of 26758 are 2, 17, 787. Prime factorization of 26758 in exponential form is:

26758 = 21 × 171 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 26742 and 26758.

LCM(26742,26758) = 21 × 31 × 44571 × 171 × 7871
LCM(26742,26758) = 357781218