What is the Least Common Multiple of 26909 and 26920?

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 26909 and 26920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26909 and 26920, than apply into the LCM equation.

GCF(26909,26920) = 1
LCM(26909,26920) = ( 26909 × 26920) / 1
LCM(26909,26920) = 724390280 / 1
LCM(26909,26920) = 724390280

Least Common Multiple (LCM) of 26909 and 26920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26909 and 26920. First we will calculate the prime factors of 26909 and 26920.

Prime Factorization of 26909

Prime Factorization of 26920

Now multiplying the highest exponent prime factors to calculate the LCM of 26909 and 26920.

LCM(26909,26920) = 71¹ × 379¹ × 2³ × 5¹ × 673¹
LCM(26909,26920) = 724390280