What is the Least Common Multiple of 12394 and 12410?

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 12394 and 12410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12394 and 12410, than apply into the LCM equation.

GCF(12394,12410) = 2
LCM(12394,12410) = ( 12394 × 12410) / 2
LCM(12394,12410) = 153809540 / 2
LCM(12394,12410) = 76904770

Least Common Multiple (LCM) of 12394 and 12410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12394 and 12410. First we will calculate the prime factors of 12394 and 12410.

Prime Factorization of 12394

Prime Factorization of 12410

Now multiplying the highest exponent prime factors to calculate the LCM of 12394 and 12410.

LCM(12394,12410) = 2¹ × 6197¹ × 5¹ × 17¹ × 73¹
LCM(12394,12410) = 76904770