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What is the Least Common Multiple of 26362 and 26380?

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 26362 and 26380 is 347714780.

LCM(26362,26380) = 347714780

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Least Common Multiple of 26362 and 26380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26362 and 26380, than apply into the LCM equation.

GCF(26362,26380) = 2
LCM(26362,26380) = ( 26362 × 26380) / 2
LCM(26362,26380) = 695429560 / 2
LCM(26362,26380) = 347714780

Least Common Multiple (LCM) of 26362 and 26380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26362 and 26380. First we will calculate the prime factors of 26362 and 26380.

Prime Factorization of 26362

Prime factors of 26362 are 2, 7, 269. Prime factorization of 26362 in exponential form is:

26362 = 21 × 72 × 2691

Prime Factorization of 26380

Prime factors of 26380 are 2, 5, 1319. Prime factorization of 26380 in exponential form is:

26380 = 22 × 51 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 26362 and 26380.

LCM(26362,26380) = 22 × 72 × 2691 × 51 × 13191
LCM(26362,26380) = 347714780