What is the Least Common Multiple of 74404 and 74414?

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 74404 and 74414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74404 and 74414, than apply into the LCM equation.

GCF(74404,74414) = 2
LCM(74404,74414) = ( 74404 × 74414) / 2
LCM(74404,74414) = 5536699256 / 2
LCM(74404,74414) = 2768349628

Least Common Multiple (LCM) of 74404 and 74414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74404 and 74414. First we will calculate the prime factors of 74404 and 74414.

Prime Factorization of 74404

Prime Factorization of 74414

Now multiplying the highest exponent prime factors to calculate the LCM of 74404 and 74414.

LCM(74404,74414) = 2² × 11¹ × 19¹ × 89¹ × 29¹ × 1283¹
LCM(74404,74414) = 2768349628