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What is the Least Common Multiple of 26154 and 26167?

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 26154 and 26167 is 684371718.

LCM(26154,26167) = 684371718

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Least Common Multiple of 26154 and 26167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26154 and 26167, than apply into the LCM equation.

GCF(26154,26167) = 1
LCM(26154,26167) = ( 26154 × 26167) / 1
LCM(26154,26167) = 684371718 / 1
LCM(26154,26167) = 684371718

Least Common Multiple (LCM) of 26154 and 26167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26154 and 26167. First we will calculate the prime factors of 26154 and 26167.

Prime Factorization of 26154

Prime factors of 26154 are 2, 3, 1453. Prime factorization of 26154 in exponential form is:

26154 = 21 × 32 × 14531

Prime Factorization of 26167

Prime factors of 26167 are 137, 191. Prime factorization of 26167 in exponential form is:

26167 = 1371 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 26154 and 26167.

LCM(26154,26167) = 21 × 32 × 14531 × 1371 × 1911
LCM(26154,26167) = 684371718