GCF and LCM Calculator Logo

What is the Least Common Multiple of 26084 and 26098?

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 26084 and 26098 is 340370116.

LCM(26084,26098) = 340370116

LCM Calculator and
and

Least Common Multiple of 26084 and 26098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26084 and 26098, than apply into the LCM equation.

GCF(26084,26098) = 2
LCM(26084,26098) = ( 26084 × 26098) / 2
LCM(26084,26098) = 680740232 / 2
LCM(26084,26098) = 340370116

Least Common Multiple (LCM) of 26084 and 26098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26084 and 26098. First we will calculate the prime factors of 26084 and 26098.

Prime Factorization of 26084

Prime factors of 26084 are 2, 6521. Prime factorization of 26084 in exponential form is:

26084 = 22 × 65211

Prime Factorization of 26098

Prime factors of 26098 are 2, 13049. Prime factorization of 26098 in exponential form is:

26098 = 21 × 130491

Now multiplying the highest exponent prime factors to calculate the LCM of 26084 and 26098.

LCM(26084,26098) = 22 × 65211 × 130491
LCM(26084,26098) = 340370116