What is the Least Common Multiple of 90306 and 90313?

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 90306 and 90313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90306 and 90313, than apply into the LCM equation.

GCF(90306,90313) = 1
LCM(90306,90313) = ( 90306 × 90313) / 1
LCM(90306,90313) = 8155805778 / 1
LCM(90306,90313) = 8155805778

Least Common Multiple (LCM) of 90306 and 90313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90306 and 90313. First we will calculate the prime factors of 90306 and 90313.

Prime Factorization of 90306

Prime Factorization of 90313

Now multiplying the highest exponent prime factors to calculate the LCM of 90306 and 90313.

LCM(90306,90313) = 2¹ × 3² × 29¹ × 173¹ × 90313¹
LCM(90306,90313) = 8155805778