What is the Least Common Multiple of 90766 and 90782?

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 90766 and 90782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90766 and 90782, than apply into the LCM equation.

GCF(90766,90782) = 2
LCM(90766,90782) = ( 90766 × 90782) / 2
LCM(90766,90782) = 8239919012 / 2
LCM(90766,90782) = 4119959506

Least Common Multiple (LCM) of 90766 and 90782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90766 and 90782. First we will calculate the prime factors of 90766 and 90782.

Prime Factorization of 90766

Prime Factorization of 90782

Now multiplying the highest exponent prime factors to calculate the LCM of 90766 and 90782.

LCM(90766,90782) = 2¹ × 13¹ × 3491¹ × 19¹ × 2389¹
LCM(90766,90782) = 4119959506