What is the Least Common Multiple of 90192 and 90210?

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 90192 and 90210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90192 and 90210, than apply into the LCM equation.

GCF(90192,90210) = 6
LCM(90192,90210) = ( 90192 × 90210) / 6
LCM(90192,90210) = 8136220320 / 6
LCM(90192,90210) = 1356036720

Least Common Multiple (LCM) of 90192 and 90210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90192 and 90210. First we will calculate the prime factors of 90192 and 90210.

Prime Factorization of 90192

Prime Factorization of 90210

Now multiplying the highest exponent prime factors to calculate the LCM of 90192 and 90210.

LCM(90192,90210) = 2⁴ × 3¹ × 1879¹ × 5¹ × 31¹ × 97¹
LCM(90192,90210) = 1356036720