What is the Least Common Multiple of 2905 and 2912?

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 2905 and 2912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2905 and 2912, than apply into the LCM equation.

GCF(2905,2912) = 7
LCM(2905,2912) = ( 2905 × 2912) / 7
LCM(2905,2912) = 8459360 / 7
LCM(2905,2912) = 1208480

Least Common Multiple (LCM) of 2905 and 2912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2905 and 2912. First we will calculate the prime factors of 2905 and 2912.

Prime Factorization of 2905

Prime Factorization of 2912

Now multiplying the highest exponent prime factors to calculate the LCM of 2905 and 2912.

LCM(2905,2912) = 5¹ × 7¹ × 83¹ × 2⁵ × 13¹
LCM(2905,2912) = 1208480