What is the Least Common Multiple of 94410 and 94426?

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 94410 and 94426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94410 and 94426, than apply into the LCM equation.

GCF(94410,94426) = 2
LCM(94410,94426) = ( 94410 × 94426) / 2
LCM(94410,94426) = 8914758660 / 2
LCM(94410,94426) = 4457379330

Least Common Multiple (LCM) of 94410 and 94426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94410 and 94426. First we will calculate the prime factors of 94410 and 94426.

Prime Factorization of 94410

Prime Factorization of 94426

Now multiplying the highest exponent prime factors to calculate the LCM of 94410 and 94426.

LCM(94410,94426) = 2¹ × 3² × 5¹ × 1049¹ × 31¹ × 1523¹
LCM(94410,94426) = 4457379330