What is the Least Common Multiple of 90555 and 90574?

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 90555 and 90574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90555 and 90574, than apply into the LCM equation.

GCF(90555,90574) = 1
LCM(90555,90574) = ( 90555 × 90574) / 1
LCM(90555,90574) = 8201928570 / 1
LCM(90555,90574) = 8201928570

Least Common Multiple (LCM) of 90555 and 90574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90555 and 90574. First we will calculate the prime factors of 90555 and 90574.

Prime Factorization of 90555

Prime Factorization of 90574

Now multiplying the highest exponent prime factors to calculate the LCM of 90555 and 90574.

LCM(90555,90574) = 3¹ × 5¹ × 6037¹ × 2¹ × 11¹ × 23¹ × 179¹
LCM(90555,90574) = 8201928570