What is the Least Common Multiple of 90783 and 90797?

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 90783 and 90797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90783 and 90797, than apply into the LCM equation.

GCF(90783,90797) = 7
LCM(90783,90797) = ( 90783 × 90797) / 7
LCM(90783,90797) = 8242824051 / 7
LCM(90783,90797) = 1177546293

Least Common Multiple (LCM) of 90783 and 90797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90783 and 90797. First we will calculate the prime factors of 90783 and 90797.

Prime Factorization of 90783

Prime Factorization of 90797

Now multiplying the highest exponent prime factors to calculate the LCM of 90783 and 90797.

LCM(90783,90797) = 3² × 7² × 11¹ × 131¹ × 17¹ × 109¹
LCM(90783,90797) = 1177546293