GCF and LCM Calculator Logo

What is the Least Common Multiple of 26092 and 26107?

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 26092 and 26107 is 681183844.

LCM(26092,26107) = 681183844

LCM Calculator and
and

Least Common Multiple of 26092 and 26107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26092 and 26107, than apply into the LCM equation.

GCF(26092,26107) = 1
LCM(26092,26107) = ( 26092 × 26107) / 1
LCM(26092,26107) = 681183844 / 1
LCM(26092,26107) = 681183844

Least Common Multiple (LCM) of 26092 and 26107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26092 and 26107. First we will calculate the prime factors of 26092 and 26107.

Prime Factorization of 26092

Prime factors of 26092 are 2, 11, 593. Prime factorization of 26092 in exponential form is:

26092 = 22 × 111 × 5931

Prime Factorization of 26107

Prime factors of 26107 are 26107. Prime factorization of 26107 in exponential form is:

26107 = 261071

Now multiplying the highest exponent prime factors to calculate the LCM of 26092 and 26107.

LCM(26092,26107) = 22 × 111 × 5931 × 261071
LCM(26092,26107) = 681183844