What is the Least Common Multiple of 2401 and 2410?

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 2401 and 2410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2401 and 2410, than apply into the LCM equation.

GCF(2401,2410) = 1
LCM(2401,2410) = ( 2401 × 2410) / 1
LCM(2401,2410) = 5786410 / 1
LCM(2401,2410) = 5786410

Least Common Multiple (LCM) of 2401 and 2410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2401 and 2410. First we will calculate the prime factors of 2401 and 2410.

Prime Factorization of 2401

Prime Factorization of 2410

Now multiplying the highest exponent prime factors to calculate the LCM of 2401 and 2410.

LCM(2401,2410) = 7⁴ × 2¹ × 5¹ × 241¹
LCM(2401,2410) = 5786410