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What is the Least Common Multiple of 26292 and 26304?

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 26292 and 26304 is 57632064.

LCM(26292,26304) = 57632064

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Least Common Multiple of 26292 and 26304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26292 and 26304, than apply into the LCM equation.

GCF(26292,26304) = 12
LCM(26292,26304) = ( 26292 × 26304) / 12
LCM(26292,26304) = 691584768 / 12
LCM(26292,26304) = 57632064

Least Common Multiple (LCM) of 26292 and 26304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26292 and 26304. First we will calculate the prime factors of 26292 and 26304.

Prime Factorization of 26292

Prime factors of 26292 are 2, 3, 7, 313. Prime factorization of 26292 in exponential form is:

26292 = 22 × 31 × 71 × 3131

Prime Factorization of 26304

Prime factors of 26304 are 2, 3, 137. Prime factorization of 26304 in exponential form is:

26304 = 26 × 31 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 26292 and 26304.

LCM(26292,26304) = 26 × 31 × 71 × 3131 × 1371
LCM(26292,26304) = 57632064