What is the Least Common Multiple of 90489 and 90494?

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 90489 and 90494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90489 and 90494, than apply into the LCM equation.

GCF(90489,90494) = 1
LCM(90489,90494) = ( 90489 × 90494) / 1
LCM(90489,90494) = 8188711566 / 1
LCM(90489,90494) = 8188711566

Least Common Multiple (LCM) of 90489 and 90494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90489 and 90494. First we will calculate the prime factors of 90489 and 90494.

Prime Factorization of 90489

Prime Factorization of 90494

Now multiplying the highest exponent prime factors to calculate the LCM of 90489 and 90494.

LCM(90489,90494) = 3¹ × 7¹ × 31¹ × 139¹ × 2¹ × 45247¹
LCM(90489,90494) = 8188711566