What is the Least Common Multiple of 90083 and 90097?

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 90083 and 90097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90083 and 90097, than apply into the LCM equation.

GCF(90083,90097) = 7
LCM(90083,90097) = ( 90083 × 90097) / 7
LCM(90083,90097) = 8116208051 / 7
LCM(90083,90097) = 1159458293

Least Common Multiple (LCM) of 90083 and 90097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90083 and 90097. First we will calculate the prime factors of 90083 and 90097.

Prime Factorization of 90083

Prime Factorization of 90097

Now multiplying the highest exponent prime factors to calculate the LCM of 90083 and 90097.

LCM(90083,90097) = 7¹ × 17¹ × 757¹ × 61¹ × 211¹
LCM(90083,90097) = 1159458293