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What is the Least Common Multiple of 26971 and 26984?

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 26971 and 26984 is 727785464.

LCM(26971,26984) = 727785464

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Least Common Multiple of 26971 and 26984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26971 and 26984, than apply into the LCM equation.

GCF(26971,26984) = 1
LCM(26971,26984) = ( 26971 × 26984) / 1
LCM(26971,26984) = 727785464 / 1
LCM(26971,26984) = 727785464

Least Common Multiple (LCM) of 26971 and 26984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26971 and 26984. First we will calculate the prime factors of 26971 and 26984.

Prime Factorization of 26971

Prime factors of 26971 are 7, 3853. Prime factorization of 26971 in exponential form is:

26971 = 71 × 38531

Prime Factorization of 26984

Prime factors of 26984 are 2, 3373. Prime factorization of 26984 in exponential form is:

26984 = 23 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 26971 and 26984.

LCM(26971,26984) = 71 × 38531 × 23 × 33731
LCM(26971,26984) = 727785464