What is the Least Common Multiple of 13405 and 13410?

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 13405 and 13410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13405 and 13410, than apply into the LCM equation.

GCF(13405,13410) = 5
LCM(13405,13410) = ( 13405 × 13410) / 5
LCM(13405,13410) = 179761050 / 5
LCM(13405,13410) = 35952210

Least Common Multiple (LCM) of 13405 and 13410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13405 and 13410. First we will calculate the prime factors of 13405 and 13410.

Prime Factorization of 13405

Prime Factorization of 13410

Now multiplying the highest exponent prime factors to calculate the LCM of 13405 and 13410.

LCM(13405,13410) = 5¹ × 7¹ × 383¹ × 2¹ × 3² × 149¹
LCM(13405,13410) = 35952210