What is the Least Common Multiple of 90696 and 90705?

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 90705 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 90705, than apply into the LCM equation.

GCF(90696,90705) = 3
LCM(90696,90705) = ( 90696 × 90705) / 3
LCM(90696,90705) = 8226580680 / 3
LCM(90696,90705) = 2742193560

Least Common Multiple (LCM) of 90696 and 90705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90696 and 90705. First we will calculate the prime factors of 90696 and 90705.

Prime Factorization of 90696

Prime Factorization of 90705

Now multiplying the highest exponent prime factors to calculate the LCM of 90696 and 90705.

LCM(90696,90705) = 2³ × 3¹ × 3779¹ × 5¹ × 6047¹
LCM(90696,90705) = 2742193560