What is the Least Common Multiple of 26100 and 26114?

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 of 26100 and 26114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26100 and 26114, than apply into the LCM equation.

GCF(26100,26114) = 2
LCM(26100,26114) = ( 26100 × 26114) / 2
LCM(26100,26114) = 681575400 / 2
LCM(26100,26114) = 340787700

Least Common Multiple (LCM) of 26100 and 26114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26100 and 26114. First we will calculate the prime factors of 26100 and 26114.

Prime Factorization of 26100

Prime Factorization of 26114

Now multiplying the highest exponent prime factors to calculate the LCM of 26100 and 26114.

LCM(26100,26114) = 2² × 3² × 5² × 29¹ × 11¹ × 1187¹
LCM(26100,26114) = 340787700