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What is the Least Common Multiple of 26361 and 26369?

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 26361 and 26369 is 695113209.

LCM(26361,26369) = 695113209

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Least Common Multiple of 26361 and 26369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26361 and 26369, than apply into the LCM equation.

GCF(26361,26369) = 1
LCM(26361,26369) = ( 26361 × 26369) / 1
LCM(26361,26369) = 695113209 / 1
LCM(26361,26369) = 695113209

Least Common Multiple (LCM) of 26361 and 26369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26361 and 26369. First we will calculate the prime factors of 26361 and 26369.

Prime Factorization of 26361

Prime factors of 26361 are 3, 29, 101. Prime factorization of 26361 in exponential form is:

26361 = 32 × 291 × 1011

Prime Factorization of 26369

Prime factors of 26369 are 7, 3767. Prime factorization of 26369 in exponential form is:

26369 = 71 × 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 26361 and 26369.

LCM(26361,26369) = 32 × 291 × 1011 × 71 × 37671
LCM(26361,26369) = 695113209