What is the Least Common Multiple of 74394 and 74410?

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 74394 and 74410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74394 and 74410, than apply into the LCM equation.

GCF(74394,74410) = 2
LCM(74394,74410) = ( 74394 × 74410) / 2
LCM(74394,74410) = 5535657540 / 2
LCM(74394,74410) = 2767828770

Least Common Multiple (LCM) of 74394 and 74410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74394 and 74410. First we will calculate the prime factors of 74394 and 74410.

Prime Factorization of 74394

Prime Factorization of 74410

Now multiplying the highest exponent prime factors to calculate the LCM of 74394 and 74410.

LCM(74394,74410) = 2¹ × 3² × 4133¹ × 5¹ × 7¹ × 1063¹
LCM(74394,74410) = 2767828770