What is the Least Common Multiple of 26112 and 26117?

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 26112 and 26117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26112 and 26117, than apply into the LCM equation.

GCF(26112,26117) = 1
LCM(26112,26117) = ( 26112 × 26117) / 1
LCM(26112,26117) = 681967104 / 1
LCM(26112,26117) = 681967104

Least Common Multiple (LCM) of 26112 and 26117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26112 and 26117. First we will calculate the prime factors of 26112 and 26117.

Prime Factorization of 26112

Prime Factorization of 26117

Now multiplying the highest exponent prime factors to calculate the LCM of 26112 and 26117.

LCM(26112,26117) = 2⁹ × 3¹ × 17¹ × 7² × 13¹ × 41¹
LCM(26112,26117) = 681967104