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What is the Least Common Multiple of 26478 and 26494?

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 26478 and 26494 is 350754066.

LCM(26478,26494) = 350754066

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Least Common Multiple of 26478 and 26494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26478 and 26494, than apply into the LCM equation.

GCF(26478,26494) = 2
LCM(26478,26494) = ( 26478 × 26494) / 2
LCM(26478,26494) = 701508132 / 2
LCM(26478,26494) = 350754066

Least Common Multiple (LCM) of 26478 and 26494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26478 and 26494. First we will calculate the prime factors of 26478 and 26494.

Prime Factorization of 26478

Prime factors of 26478 are 2, 3, 1471. Prime factorization of 26478 in exponential form is:

26478 = 21 × 32 × 14711

Prime Factorization of 26494

Prime factors of 26494 are 2, 13, 1019. Prime factorization of 26494 in exponential form is:

26494 = 21 × 131 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 26478 and 26494.

LCM(26478,26494) = 21 × 32 × 14711 × 131 × 10191
LCM(26478,26494) = 350754066