What is the Least Common Multiple of 2910 and 2915?

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 2910 and 2915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2910 and 2915, than apply into the LCM equation.

GCF(2910,2915) = 5
LCM(2910,2915) = ( 2910 × 2915) / 5
LCM(2910,2915) = 8482650 / 5
LCM(2910,2915) = 1696530

Least Common Multiple (LCM) of 2910 and 2915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2910 and 2915. First we will calculate the prime factors of 2910 and 2915.

Prime Factorization of 2910

Prime Factorization of 2915

Now multiplying the highest exponent prime factors to calculate the LCM of 2910 and 2915.

LCM(2910,2915) = 2¹ × 3¹ × 5¹ × 97¹ × 11¹ × 53¹
LCM(2910,2915) = 1696530