What is the Least Common Multiple of 26105 and 26112?

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 26105 and 26112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26105 and 26112, than apply into the LCM equation.

GCF(26105,26112) = 1
LCM(26105,26112) = ( 26105 × 26112) / 1
LCM(26105,26112) = 681653760 / 1
LCM(26105,26112) = 681653760

Least Common Multiple (LCM) of 26105 and 26112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26105 and 26112. First we will calculate the prime factors of 26105 and 26112.

Prime Factorization of 26105

Prime Factorization of 26112

Now multiplying the highest exponent prime factors to calculate the LCM of 26105 and 26112.

LCM(26105,26112) = 5¹ × 23¹ × 227¹ × 2⁹ × 3¹ × 17¹
LCM(26105,26112) = 681653760