What is the Least Common Multiple of 90696 and 90712?

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 90696 and 90712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90696 and 90712, than apply into the LCM equation.

GCF(90696,90712) = 8
LCM(90696,90712) = ( 90696 × 90712) / 8
LCM(90696,90712) = 8227215552 / 8
LCM(90696,90712) = 1028401944

Least Common Multiple (LCM) of 90696 and 90712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90696 and 90712. First we will calculate the prime factors of 90696 and 90712.

Prime Factorization of 90696

Prime Factorization of 90712

Now multiplying the highest exponent prime factors to calculate the LCM of 90696 and 90712.

LCM(90696,90712) = 2³ × 3¹ × 3779¹ × 17¹ × 23¹ × 29¹
LCM(90696,90712) = 1028401944