What is the Least Common Multiple of 26600 and 26619?

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 26600 and 26619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26600 and 26619, than apply into the LCM equation.

GCF(26600,26619) = 19
LCM(26600,26619) = ( 26600 × 26619) / 19
LCM(26600,26619) = 708065400 / 19
LCM(26600,26619) = 37266600

Least Common Multiple (LCM) of 26600 and 26619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26600 and 26619. First we will calculate the prime factors of 26600 and 26619.

Prime Factorization of 26600

Prime Factorization of 26619

Now multiplying the highest exponent prime factors to calculate the LCM of 26600 and 26619.

LCM(26600,26619) = 2³ × 5² × 7¹ × 19¹ × 3¹ × 467¹
LCM(26600,26619) = 37266600