What is the Least Common Multiple of 90406 and 90423?

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 90406 and 90423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90406 and 90423, than apply into the LCM equation.

GCF(90406,90423) = 17
LCM(90406,90423) = ( 90406 × 90423) / 17
LCM(90406,90423) = 8174781738 / 17
LCM(90406,90423) = 480869514

Least Common Multiple (LCM) of 90406 and 90423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90406 and 90423. First we will calculate the prime factors of 90406 and 90423.

Prime Factorization of 90406

Prime Factorization of 90423

Now multiplying the highest exponent prime factors to calculate the LCM of 90406 and 90423.

LCM(90406,90423) = 2¹ × 17¹ × 2659¹ × 3³ × 197¹
LCM(90406,90423) = 480869514