What is the Least Common Multiple of 26160 and 26172?

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 26160 and 26172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26160 and 26172, than apply into the LCM equation.

GCF(26160,26172) = 12
LCM(26160,26172) = ( 26160 × 26172) / 12
LCM(26160,26172) = 684659520 / 12
LCM(26160,26172) = 57054960

Least Common Multiple (LCM) of 26160 and 26172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26160 and 26172. First we will calculate the prime factors of 26160 and 26172.

Prime Factorization of 26160

Prime Factorization of 26172

Now multiplying the highest exponent prime factors to calculate the LCM of 26160 and 26172.

LCM(26160,26172) = 2⁴ × 3² × 5¹ × 109¹ × 727¹
LCM(26160,26172) = 57054960