What is the Least Common Multiple of 26460 and 26474?

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 26460 and 26474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26460 and 26474, than apply into the LCM equation.

GCF(26460,26474) = 14
LCM(26460,26474) = ( 26460 × 26474) / 14
LCM(26460,26474) = 700502040 / 14
LCM(26460,26474) = 50035860

Least Common Multiple (LCM) of 26460 and 26474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26460 and 26474. First we will calculate the prime factors of 26460 and 26474.

Prime Factorization of 26460

Prime Factorization of 26474

Now multiplying the highest exponent prime factors to calculate the LCM of 26460 and 26474.

LCM(26460,26474) = 2² × 3³ × 5¹ × 7² × 31¹ × 61¹
LCM(26460,26474) = 50035860