What is the Least Common Multiple of 3405 and 3410?

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 3405 and 3410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3405 and 3410, than apply into the LCM equation.

GCF(3405,3410) = 5
LCM(3405,3410) = ( 3405 × 3410) / 5
LCM(3405,3410) = 11611050 / 5
LCM(3405,3410) = 2322210

Least Common Multiple (LCM) of 3405 and 3410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3405 and 3410. First we will calculate the prime factors of 3405 and 3410.

Prime Factorization of 3405

Prime Factorization of 3410

Now multiplying the highest exponent prime factors to calculate the LCM of 3405 and 3410.

LCM(3405,3410) = 3¹ × 5¹ × 227¹ × 2¹ × 11¹ × 31¹
LCM(3405,3410) = 2322210