What is the Least Common Multiple of 2496 and 2505?

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 2496 and 2505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2496 and 2505, than apply into the LCM equation.

GCF(2496,2505) = 3
LCM(2496,2505) = ( 2496 × 2505) / 3
LCM(2496,2505) = 6252480 / 3
LCM(2496,2505) = 2084160

Least Common Multiple (LCM) of 2496 and 2505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2496 and 2505. First we will calculate the prime factors of 2496 and 2505.

Prime Factorization of 2496

Prime Factorization of 2505

Now multiplying the highest exponent prime factors to calculate the LCM of 2496 and 2505.

LCM(2496,2505) = 2⁶ × 3¹ × 13¹ × 5¹ × 167¹
LCM(2496,2505) = 2084160