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What is the Least Common Multiple of 26442 and 26456?

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 26442 and 26456 is 349774776.

LCM(26442,26456) = 349774776

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Least Common Multiple of 26442 and 26456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26442 and 26456, than apply into the LCM equation.

GCF(26442,26456) = 2
LCM(26442,26456) = ( 26442 × 26456) / 2
LCM(26442,26456) = 699549552 / 2
LCM(26442,26456) = 349774776

Least Common Multiple (LCM) of 26442 and 26456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26442 and 26456. First we will calculate the prime factors of 26442 and 26456.

Prime Factorization of 26442

Prime factors of 26442 are 2, 3, 13, 113. Prime factorization of 26442 in exponential form is:

26442 = 21 × 32 × 131 × 1131

Prime Factorization of 26456

Prime factors of 26456 are 2, 3307. Prime factorization of 26456 in exponential form is:

26456 = 23 × 33071

Now multiplying the highest exponent prime factors to calculate the LCM of 26442 and 26456.

LCM(26442,26456) = 23 × 32 × 131 × 1131 × 33071
LCM(26442,26456) = 349774776