What is the Least Common Multiple of 2892 and 2905?

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 2892 and 2905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2892 and 2905, than apply into the LCM equation.

GCF(2892,2905) = 1
LCM(2892,2905) = ( 2892 × 2905) / 1
LCM(2892,2905) = 8401260 / 1
LCM(2892,2905) = 8401260

Least Common Multiple (LCM) of 2892 and 2905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2892 and 2905. First we will calculate the prime factors of 2892 and 2905.

Prime Factorization of 2892

Prime Factorization of 2905

Now multiplying the highest exponent prime factors to calculate the LCM of 2892 and 2905.

LCM(2892,2905) = 2² × 3¹ × 241¹ × 5¹ × 7¹ × 83¹
LCM(2892,2905) = 8401260