What is the Least Common Multiple of 90661 and 90680?

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 90661 and 90680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90661 and 90680, than apply into the LCM equation.

GCF(90661,90680) = 1
LCM(90661,90680) = ( 90661 × 90680) / 1
LCM(90661,90680) = 8221139480 / 1
LCM(90661,90680) = 8221139480

Least Common Multiple (LCM) of 90661 and 90680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90661 and 90680. First we will calculate the prime factors of 90661 and 90680.

Prime Factorization of 90661

Prime Factorization of 90680

Now multiplying the highest exponent prime factors to calculate the LCM of 90661 and 90680.

LCM(90661,90680) = 17¹ × 5333¹ × 2³ × 5¹ × 2267¹
LCM(90661,90680) = 8221139480