What is the Least Common Multiple of 2914 and 2920?

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 2914 and 2920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2914 and 2920, than apply into the LCM equation.

GCF(2914,2920) = 2
LCM(2914,2920) = ( 2914 × 2920) / 2
LCM(2914,2920) = 8508880 / 2
LCM(2914,2920) = 4254440

Least Common Multiple (LCM) of 2914 and 2920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2914 and 2920. First we will calculate the prime factors of 2914 and 2920.

Prime Factorization of 2914

Prime Factorization of 2920

Now multiplying the highest exponent prime factors to calculate the LCM of 2914 and 2920.

LCM(2914,2920) = 2³ × 31¹ × 47¹ × 5¹ × 73¹
LCM(2914,2920) = 4254440