What is the Least Common Multiple of 2415 and 2424?

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 2415 and 2424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2415 and 2424, than apply into the LCM equation.

GCF(2415,2424) = 3
LCM(2415,2424) = ( 2415 × 2424) / 3
LCM(2415,2424) = 5853960 / 3
LCM(2415,2424) = 1951320

Least Common Multiple (LCM) of 2415 and 2424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2415 and 2424. First we will calculate the prime factors of 2415 and 2424.

Prime Factorization of 2415

Prime Factorization of 2424

Now multiplying the highest exponent prime factors to calculate the LCM of 2415 and 2424.

LCM(2415,2424) = 3¹ × 5¹ × 7¹ × 23¹ × 2³ × 101¹
LCM(2415,2424) = 1951320