GCF and LCM Calculator Logo

What is the Least Common Multiple of 26347 and 26366?

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 26347 and 26366 is 694665002.

LCM(26347,26366) = 694665002

LCM Calculator and
and

Least Common Multiple of 26347 and 26366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26347 and 26366, than apply into the LCM equation.

GCF(26347,26366) = 1
LCM(26347,26366) = ( 26347 × 26366) / 1
LCM(26347,26366) = 694665002 / 1
LCM(26347,26366) = 694665002

Least Common Multiple (LCM) of 26347 and 26366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26347 and 26366. First we will calculate the prime factors of 26347 and 26366.

Prime Factorization of 26347

Prime factors of 26347 are 26347. Prime factorization of 26347 in exponential form is:

26347 = 263471

Prime Factorization of 26366

Prime factors of 26366 are 2, 13183. Prime factorization of 26366 in exponential form is:

26366 = 21 × 131831

Now multiplying the highest exponent prime factors to calculate the LCM of 26347 and 26366.

LCM(26347,26366) = 263471 × 21 × 131831
LCM(26347,26366) = 694665002